Solve y'' + 4y' + 4y = 0, y(0) = 3, y'(0) = y(t) = 9

Q: y''-2y'-y=8e^t    find the particular solution

A: In this question we will find the solution of the differential equations.

Q: solve y''-y'=xex using variation of parameter . Do not use any formula

A: using variation of parameter . First we find the solution for homogeneous equation. From that…

Q: Find y'' in y = x(2x + 1)4

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Q: y = (x + y – 1)².

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Q: Find y'' in y = (1 - √x)-1

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Q: Solve xyy'=1+y^2, for y=3 when x=1, or y(1)=3

A: The given differential equation with initial condition is: xyy'=1+y2 where y1=3.…

Q: solve given IVP showing details of your work,   y^iv  +3y'' -4y=0;  y(0)=3,…

A: solve given IVP showing details of your work,   y^iv  +3y'' -4y=0;  y(0)=3,…

Q: solve using method of undetermined constants: y'' + y' - 2y = -18e^(-2t),     y(0)=0, y'(0)=0

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Q: Solve y'= 10xy - 2x, y(0) = 5 y(x) =

A: To solve the following initial value problem. y'=10xy-2x, y0=5

Q: Solve: y''' + 6y'" – y' - 30y = 0 y(0) = - 2, y'(0) - 15, y''(0) = 45 y(t) =

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Q: Solve: y' ( ² ) X =-In

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Q: Find the solution of: y'' - y = 56e^(3t) With y(0) = 9 and y'(0) = 6. y =

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Q: Solve: y''' – y'' – 21y' + 45y = 0 y(0) = – 2, y'(0) = 15, y"(0) = - 84 | y(t) = %D

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Q: y(t)=(2t-1)(5t-5)^-1, find y'(t)

A: Using Quotient Rule of Derivatives

Q: Solve :     x²y"-2x(1+x)y'+2(1+x)y = x3

A: Given: The second order differential equation is x2y''-2xx+1y'+2x+1y=0