Q: The solution of the 2" order IVP y" - y = 0, y(0) = 0 and y' (0) = 1 is
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Q: The IVP y =y cost , 0st<1, -1sysland y(0) = 1 has a unique solution Select one: a. True b. False
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Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y
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Q: 8. What is the particular solution of 2xyy' =1+ y², when x = 2, y = 3 ? C. y =V5x +2 d. y =3x – 4 a.…
A: Given differential equation 2xyy'=1+y2, when x=2,y=3. The objective is to find the particular…
Q: 2. Find general solution of the DE y" + 3y" + 3/ + y = 0
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Q: 3) Find the particular solution of the DE y" = 12x² if y(0) = 1 and y'(0) = 2.
A: This is a problem related to differential equation. Please follow the procedure given below.
Q: What is the long term behavior of the solution with the initial condition (-2, –1)? -3
A: Since, at point x=-2 and y=-1 present in the graph having the phase portrait curve as decreasing to…
Q: Solve by using Gaussian Elimination: 2X + 3Y - Z = 16…
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Q: (3) Find the particular solution passing through point (2,-2) at t= 0. Don't do more work than you…
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Q: Obtain general solution of y' = y + y^3.
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Q: (x) + Find the general solution аху- х+у о у-xlncxЈtc 2 x² Ў= х²-хутуг у-х- х Нихте з y = x + y + y…
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Q: Show that y = 5x2 + 2 is a solution to the DE xy' +(2)/(5) y" = 2y.
A: To show: y=5 x2+2 is a solution of differential equation xy'+25y''=2y
Q: Verify that y, = e2x and y2 = e5×are solutions of у" - 7у' + 10у %3D 0
A: We have to verify that the functions y1=e2x and y2=e5x are solutions to the given differential…
Q: Is y(x) = C1sin2x + C2cos2x, where C1 and C2 are arbitrary constants, a solution of y” + 4y = 0?
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Q: Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2
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Q: What is the solution of y2 - x2y'=0 with IVP y(1)=1/2 ?
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Q: A) (:: :) Verify that y = c₁cos(3x) + c₂sin(3x) is a solution of y' +9y = 0
A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…
Q: T + 4y – 6z =-1 2 2x -y+2z = -7 --x + 2y - 4z = 5 The solution is (z,Y, 2) = ):
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Q: Q3. Verify that y² = x² – 3 is the particular solution to the following ivp: y' = ; y(2) = -1. %3D
A: To check whether a solution is particular solution to ivp , it must satisfy the differential…
Q: Solve the initial value problem y" + 5y- 36y = 0, y(0) = a, y'(0) = -63. Find a so that the solution…
A: Given differential equation is y'' + 5y' - 36y = 0 with y(0) = α, y'(0) = -63
Q: 10. Find the particular solution that satisfies the initial condition. my'+2y = 3x2-5x, Initial…
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Q: 4. Find the number of non negative solutions to x + y + z = 21. With the conditions that x > 3, y >…
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Q: 3. Verify that 3e-2x +4e* is a solution of y"- 3y' + 2y = 0.
A: We have to verify that 3e-2x+4ex is a solution of y'''-3y'+2y=0
Q: Find the general solution of the following equation valid near the origin: (1+4x²) y¹¹-8y=0…
A: Given: Let us consider the given differential equation, 1+4x2yιι-8y=0
Q: Use Variation of Parameters to obtain the General Solution 1. y +4y 4-sx2x
A: Solve the given problem.
Q: 4 Solve y" – y" – y' + y = 2e¬t + te' + 3 by using both the method of undetermined coefficients and…
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Q: 4y'' + 24y' + 37y = 0 @y(π) = 1, y'(π) = 0 show complete solution
A: The given differential equation is: 4y''+24y'+37y=0, y(π)=1, y'(π)=0 which is a homogeneous…
Q: 8. What is the particular solution of 2xyy' =1+y², when x = 2, y = 3 ? а. у%3D5x -1 C. y =V5x + 2 b.…
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Q: Use the method of variation of parameters to solve the initial-value problem y" – 2y – 3y = 12e-2*,…
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Q: b, Solve dy- y -n3y²--x5 finding particular solution.
A: Solve DE
Q: The solution interval of 2y +1≥3 or 3y1 or y< -11 BO
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Q: 2 ydx = 3xdy; when x = -2, y = 1 Ans. y = (x/2)3
A: Given: 2ydx=3xdy ; x=-2, y=1 We know that; ∫1ax+bdx=1alnax+b+C
Q: Obtain the particular solution of x²y" + xy' = 1; y = 0 and y' = 1/2, when x = 1
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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2
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Q: Use Gauss Jorden method to solve and also verify the solution. 5x-2y+z=2 3x+2y+7z=3 x+y+3z=2
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Q: Q4\ Solve by Gaussian elimination x - 4y - 2z = 21 2x+y + 2z = 3 3x+2y-z = -2
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Q: Q9 Solution of + (x + 2) y² = 0 using separation variable is 1 1 y +2x+c y = 2x- 2 22 +c 1 +2x+c…
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Q: Solve for the general solution xydx - (x² +2y² ) dy = 0 x² = 4y° In(2 ) xy = 4y° In() Option 1…
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Q: If f(s) =S+ 25-7, what is Lurite solution in exact form.
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Q: Find general solution of DE by both methods from 2.9 (independent variable missing and dependent…
A: The objective here is to solve the given differential equation: y''−6y'−7y=0,y0=1,y'0=3
Q: (b) Solve y" + y = 0, y(0) = 3, y(1) = -3 by using finite-difference method with h = 0.2.
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Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.
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Q: Use undetermined coefficients to find the particular solution to y'' + y' – 3y = 4t + 5 Yp(t) = %3D
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Q: The general solution of æy" + xy' +(3x² – 16)y = 0 for a > 0 is Y = OCiJ/5 (4x) + c2J_va(4x) None of…
A: The Bessel's equation of order ρ is given by x2y''+xy'+x2-ρ2y=0 Then the general solution of the…
Q: The solution of the IVP t(t + 4)y + (t + 4) y =t, y(2) = 2 exists in the interv
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Q: 2. Obtain the particular solution. y"-y'-6y=0; when x=0, y=2,y'=1
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Q: Solve using Gauss-Seidel Method 2x + y - z = 10 X - 3y + z = 3 2x + y + 3z = 9
A: The given equations are; 2x+y-z=10 x-3y+z=3 2x+y+3z=9
Q: (D³ + 2D² - 5D - 8)y = 0, when x = 0, y = 0, y = 0, y" = 2
A: Given
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- 24 Energy of 4p subshell is higher than 3d. Select one: True FalseSuppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?how to (w^1) get distributed back into (y+q^1)?
- A forest consists of two types of trees; young (between 0 and 3 m tall) and adults (more than 3 m). Each year, 20% of young trees die, 10% sell for $20 each, 30% remain between 0 and 3 m, and 40% grow taller than 3 m. Each year, 40% of adult trees sell for $50, 20% sell for $20, 30% remain in the forest, and 10% die. What percentage of the trees planted sell for $50?A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?Is there any chance that :Covarience (X,Y) = Varx + Vary - 2*Var(X,Y) or it has to beCovarience (X,Y) = Varx + Vary + 2*Var(X,Y)and please explain
- Determine the uncertainties in x2 and y2 using the rule for propagating uncertainties when multiplying two numbers. x=80, y=60, ∆x= ∆y=5.The assembly for this problem for model S is 0.4 and for model LX 0.5. Can you redo the problem with this information correct?Cintas has installed three smoke detectors in its stockroom. The installer asserts that each detector is 90% likely to detect a fire within 30 seconds of ignition. Assuming the three detectors function independently, how likely is it that a fire will be detected within 30 seconds?
- The personnel department of a large corporation gives two aptitude tests to job applicants. From many years’ experience, the company has found that a person’s score for the first test, Y1, is normally distributed with μ1 = 50 and σ1 = 10. The scores for the second test, Y2, are normally distributed with μ2 = 100 and σ2 = 20. A composite score, Y, is assigned to each applicant, where Y = 3Y1 + 2Y2. To avoid unnecessary paperwork, the company automatically rejects any applicant whose composite score is below 375. If six individuals submit résumés, what are the chances that fewer than half will fail the screening tests? Hint: Use the fact that the sum of two independent normal random variables is also a normal random variable.The doughnuts look the same on the outside, but have different fillings inside. Each box contains the same number of each kind: 4 lemon, 2 chocolate and 2 jelly. If Mr. Te gave one doughnut to his brother to each each day, how likely is it that his brother didn't get a lemon-filled doughnut on either day? Express your answer in 2 decimal places.Suppose that we identify 155 women 50 to 54 years of age who have both a mother and a sister with a history of breast cancer. 18 of these women themselves have developed breast cancer at some time in their lives. If we assume that the proportion of breast cancer cases in women whose mothers have had breast cancer is 8%, does having a sister with the disease increase the risk? Find the p-value.