1) Is (1, 6) a solution y = 4x + 2 y = x + 5

Q: The IVP y =y cost , 0st<1, -1sysland y(0) = 1 has a unique solution Select one: a. True b. False

A:

Q: 4 There is one value of x for which the equation y = has no ordered-pair solution. What is that…

A: Given,         There is one value of x for which the equation is y=4x-7 has no ordered pair…

Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

A:

Q: 4. Find the general solution of y(4) – 3y" – 2y" + 2y' + 12y = 0 (4)

A: Given that  y""-3y"'-2y"+2y'+12y=0 To find the general solution

Q: 2) [3 Solve the IVP: y" - 6y + 8y = 0, y(0) = 0, y' (0) = 2.

A:

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: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: Find a particular solution to y" + 4y' + 3y = -16te²".

A:

Q: What is the solution of 3x2 + 6xy2 + (6x2y + 4y2 ) y' = 0

A:

Q: 1 To find the number of toys a company should manufacture per day to optimally use their…

A: Given : 0.33330.16670.66670.16670.66670.33331.05-10x1x2x3=75612600

Q: Give a particular solution for y" – 2y' + y = 3e*.

A:

Q: 7. Solve for x, y and z using Gauss-Jordan Elimination 2w + x – 3y – 3z = 4 x + 2y +z = -3 2w – x +…

A:

Q: Let (xp, y,) be the solution of the following equations In 2 (2x)™² = (3y)n3 3Inx = 2lny %3D Then xo

A: Given equations are 2xln2=3yln33lnx=2lny

Q: How to find the particular solution of y' = x+y? It will be really helpful if youp pleaseexplain me…

A: we can find particular solution of differential equation in the following way:-

Q: (9) Does the equation r2 - 31y² = -45 have a solution? %3D in itegers please

A: The set of all (x,y) that satisfy an equation, y=f(x) are the solution of the equation.

Q: Let (x, Y,) be the solution of the following equations (2x)" = (3y)m3 3Inx = 2lny In 2 %3| %3D Then…

A: Introduction :

Q: The particular solution of (2x+3)y = y+ (2x+3)*/2 ;y(-1) =0 using LDE is A 3y=/2x+3In(2x+3)…

A:

Q: Find the general solution of 2xy^2 + 4 = 2[3 - (x^2)(y)ly. (x^2)(у^2) + 4x - бу 3D С (x^2)(y^2) + 4x…

A: Tip: if you couldn't solve the differential equation, differentiate the given option and check which…

Q: 10. Particular solution of y"-4y' + 8y = x³, when x = 0, y = 2, y' = 4

A: We have to find the particular solution of y''-4y'+8y=x3,  when x=0, y=2, y'=4.

Q: 2- a sva²-z² sa²-y"-" zdxdydz a>0 zdxdydz a > 0 0,

A:

Q: 4. Write the solution of i = -y, ý = x, x(0) = 1, y(0) = 0 %3D

A:

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 optimal solution. MAX Z=6X+7Y st 4X+5Y≤20 10X+7Y≤35 3X+4Y≥6 X ≥0 , Y ≥0 and an…

A:

Q: Give a particular solution for y" - 2y' + y = 3e".

A: Explanation of the answer is as follows

Q: Find a particular solution to y" + 6/ + 9y = 3.5e 3. Yp =

A: Given thay  y"+6y'+9y=3.5e^(-3t) To fin the particular solution

Q: What is the general solution of y"'-3 y"+3 y'-y = e* – x-1

A:

Q: 3. Find the complete solution of: y" - y' + y = 1 with y(0)=a & y'(0)=ß

A:

Q: 3. Verify that 3e 2x + 4e* is a solution of the y"-3y'+2y=0.

A: We have to verify if the given is a solution to given differential equation or not.

Q: 1. Find the solution of the IVP; 3y" – 11y' = 2x³ – 5x + 1 + 4y %3| - - y(0) = –1. %3D y'(0) = -2…

A: Given initial value problem is  3y''-11y'-4y=2x3-5x+1 with y0=-1; y'0=-2. Consider the homogeneous…

Q: 4. Is (1,5) a solution of 3x-2y S-4

A: Let's find.

Q: what is the general solution of y (1 + 3x ) y - v ? Oy = 4 + 3x + Ce %3D = 4 +3z + Ce" 4 + 3x + Ce…

A:

Q: 7. Find the solution of the IVP: y" + y' – 2y = 4t, y(0) = 1,y'(0) = 2 using method of undetermined…

A:

Q: Obtain the particular solution of x²y" + xy' = 1; y = 0 and y' = 1/2, when x = 1

A:

Q: 3. What is the particular solution if y(1) = 0 • xy' = y+ (x² + y²) ||

A: Given:- xy' = y+(x2+y2)1/2 y(1) = 0  To find:- Particular solution of given differential equation

Q: 1. Find the number of non negative solutions to x + y + z + w 16. With the conditions that x > 2, y…

A: The complete solutions are given below

Q: 5. What is the particular solution of " 2xyn = 1+y, when a 2, y = 3 y = V5x – 1 y = V3x + 2 O Option…

A: If (x,y) is a solution point of a differential equation, then the solution point must satisfy the…

Q: 10. Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

A: To find the particular solution of given differential equation :-

Q: 7. The particular solution of (D³ + 2 D²-5D-6)y = 0, when x = 0, y = 0, y = 0, y" = 1

A:

Q: In Exercises 1-14 find a particular solution. y"y 12y e3*(-6+7x) Зx

A: The given differential equation is

Q: 17. The equation y2 = cx is the general solution of: * (3 Points) O y = y/ 2x O y' = 2y / x O y =…

A: Here I am attaching image so that you understand each and every step.

Q: 6. Find the general solution to: y" + 3y" + 3y' + y =

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: 3. Find the general solution of the following DE. y' = 3 (y + 1) O y = ce³x - 1 3y = ce³x - 1 Oy =…

A: Use variable separable to Solve this problem.

Q: I have included one line of the whole solution in the questionnaire. Analyze if this included part…

A: y = ln(1-5y2 +y3) now differentiate it y' = (-10y+3y2 )/(1-5y2 +y3) here between (+) sign so there…

Q: b) Find particular solution of х*у 3- (х-1) у. У(1) — 1. У(1) %3D 1.

A:

Q: 5. The particular solution of y' + y = y¯² when x = 0,y = 2 is

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Q: 1. Solve by using Gauss-Jordan Elimination. CALCULATOR IS NOT ALLOWED. (2x +y+2z = 10 x + 2y + z = 8…

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Q: Give a particular solution for y" – 2y' + y = 3e*

A:

Q: Is it true that the solution set for x ≥ 0 is placed above the y – axis?

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Q: 1- If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8-3y) =x + c 3 a

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.