x" + 4x = y y" + 4y = 0 Compute the solution for the initial condition x(0)=1, x'(0) = 0, y(0)=1, y'(0) = 0 |

Q: 4x y" - 5y + 4y = ¹, y(0) = 0, y'(0) = 10/3 e

A: Please find attachment

Q: x²y" − x(x + 2)y' + (x + 2)y = 0, 0 < x

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Q: ' (x² +2)+4x(y² +2y+1)=0, y(0) =1.

A:

Q: Solve y'" – 4y' + 20y = – 68e*, y(0) = 0, y'(0) = 0| - y(t) :

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Q: Solve y"-2y+ly = 0, y(0) = −1, y'(0) = 1 y(t) =

A: Solution of the differential equations using Lapalce transfermation

Q: Solve (c) y" + 4y = 0, (d) (1+y/2)3 = (y')².

A: Solution is given below:

Q: Solve y''+ 4y = 8(t – 3), y(0) = y'(0) = 0

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Q: y" +4y=28 (1/4), y(0) = 0, y'(0) = 0

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Q: y"' + 3y" + 3y' = y y(0) = 7, y' (0) = -7, y" (0) = 11 %3D

A: Given: y'''+3y''+3y'+y=0 To find: y

Q: Y"'-3y"+3y'-y=0  y(0)=1 y'(0)=0 y"(0)=0

A:

Q: Solve y' = 6x, x' = x + y with initial conditions x(0) = 1, y(0) = -2

A: We can write the given system of linear differential equations in the matrix form as shown below:…

Q: xy' + 2y = 3x, y(1) = 5 %3D

A:

Q: y' +y = x*y2 , y(2) = -1,x >0 is

A: Given, The initial value problem is,

Q: Solve y" + 10y' + 25y = 0, y(0) = 4, y'(0) = – 17 %3| y(t) =

A: We have to find the solution of differential equation.

Q: y" – 10y' + 25y = 0, y(0) = - 4, - 4, y'(0) = - 15 y(t) =

A:

Q: 10 1. Reflect AABC over the line y = x and label the image AA'B'C'. Rotate triangle AA'B'C' 180º…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve y' = 6x, x' = x + y with initial conditions x(0) = 1, y(0) = -2.

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Q: y" + 4y = 0, y(0) = 1, y'(0) = - 1

A: Given that: y''+4y=0,y0=1,y'0=-1

Q: Find the solution of y" - y" + y' — y = 0, ƒ(0) = 1, ƒ'(0) = 3, ƒ"(0) = 1.

A:

Q: x²y" - 9y" + 6y' - 9 = x² + 6x y'(0) = 0

A: The given differential equation is ,     x2y''-9y''+6y'-9 = x2+6x   ;  y'(0)=0 (.)  The solution of…

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.