Which of the following below is NOT an ordered pair solution to x3-8= O (2, y) O (x, -2) O (x, 2) O (3, y)

Q: Show that the equations x+ y +z = 4, 2x + 5y - 2z = 3, x + 7y - 7z = 5 are not consistent.

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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: 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: Solve the Cauchy problem y'

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Q: If y' = х-у then its solution is x+y'

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Q: Which of the following below is NOT an ordered pair solution to y= O X, 0) O (4, y) O (-1, y) O (1,…

A: We need to check which of the following is not an ordered pair solution to y =1/(x2+1) The solution…

Q: Proivde general solution of the given ay'' + by' + cy = 0 and b^2 - 4ac > 0

A: ay'' + by' + cy = 0 and b2 - 4ac > 0 We need to provide the general solution of the given…

Q: Which equation passes through the points (−2,−1)(−2,−1) and (0,5)(0,5)?     1. y=−1 over 3x+5   2.…

A: The given points are (−2,−1) and (0,5) If an equation passes through these points, then that…

Q: Why does the ST-term in the T'-equation have a negative sign, while the ST term in the S'- equation…

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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: Find the approximation to the solution of the system fi(x1, 12) =rỉ + 11L2 – 10 = 0, f2(x1, x2) =x2…

A: Given - f1x1, x2 = x12 + x1x2 - 10 = 0f2x1, x2 = x2 + 3x1x22 - 57 = 0 start with x0 = 00.6 To find -…

Q: (2x + 3y + z = -1 Зх + Зу + z %3D1 (2x + 4y + z = -2 Give the solution of

A: We can find the answer using Gaussian elimination method as below.

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

A: Introduction :

Q: Give a particular solution for y" – 2y' + y = 1+x2

A: Given that a differential equations - y" -2y' +y = ex/1+x2.   We know that integration of 1/(a2 +x2)…

Q: Obtain the family of solutions 1) xydx – (x² +3y² ) dy = 0 2

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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: Find any solution of the followig system of equations. X2= X3= 0][X1 0||X2 ol[x3. [1 2 1 2 = 13 l1…

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Q: 4. Solve eu, - uu, = 0, u(0, y) = -y %3D for small |r.

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Q: (x,4) is a solution to 4x-4>=y

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

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Q: 2a) find a solution of y" (x) = y(x) that passes the origin and go trhout the point (In(2),-).

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

A: Explanation of the answer is as follows

Q: . Verify directly that y = 12 + Ce−3t satisfies y = −3(y − 12)forall C. Then find the two solutions…

A: Given :                 The general solution of y' = -3y(y-12) is                            y =…

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

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Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1). %3D

A: For part a). Given that                      y' = 2(2x-y) =4x-2y                      y' + 2y = 4x…

Q: In the solution to this system, what is th value of x? 4x+17y-2z=63 2x+3y-z=4 4x+8y+z=21

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Q: Find the general solution of ylty = 2xcosx -cosX %3D

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Q: 1. For h() = - 6t + 7, determine „-4) . [ 5 KUJ 2. For g(x) = 4 – 9x , determine gª(-3). [ 5 KU]

A: x in place of t

Q: grocery

A: Please refer to the image below

Q: 2. у" — у' — х %3D 0

A: To solve the given differential equation.

Q: The equation 7y'" – 12 y' + y = x can be categorized as: 2. %3D Non Linear, Non Homogeneous with…

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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: determine by inspection at least two solutions of the given first-order IV . 15. y-  3y2/3, y(0) …

A: Consider the given y'=3y23 and y0=0

Q: Solve for the 'z' with the given below in system of equations: Equation 1: x + 2y + 3zi = 20 + 5i…

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

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Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)m3 3Inx: = 2Iny Then is

A: This is very complicated & lengthy problem.So I can do it in Advanced Mathematics.

Q: (1 + x)5 (x + 2)10’ If y5 = ,and (x = 1, y = 2) y will be equal to?

A: 5y4 y'= 121(1+x)5(x+2)10 ddx(1+x)5(x+2)10            =121(1+x)5(x+2)10 (x+2)10…

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

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Q: The linear equations -3x-y = 3 and 6x + 2y = 1 is said to be %3D O inconsistent O independent…

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

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Q: 8) Use Gaussian Elimination to solve: x +3y-z = 13 - 5z = 23 (4x-y-2z = 14 Consier 2x

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Q: 30. What value of b will make the system y 3x + 2 and y 3.5x+b intersect at the point (2, 8)?

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Q: Verify that y = ODE y" + 3y' + 2y = 4x². -4e-x-2e-2x + 2x² - 6x +7 is a solution of the SHOW ALL…

A: We have to verify that y=-4e-x-2e-2x+2x2-6x+7 is a solution of the ordinary differential equation…

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

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Q: What is the solution for the equation 2ydx+(3y-2x)dy=0 & say if what method of solution such as if…

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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.