Find the solution of the given initial value problem. 7y""+154y' - 2436y = 0; y(0) = 10, y'(0) = 69, y"(0) = -474.

Q: Solve y" + 3y" – 3y' – y = x+ e².

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Q: 8. y"-2y-15y=0 y(0)=5, y'(0)=-3

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Q: give me the solution of   y'' - 2y'- 2y = 0

A: Topic:- differential equation

Q: 5) Find the general solution of the following equation y" +8 y"-9 y=0

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Q: Solve y" +5y' = (2x+1)e" -5x

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Q: Let y₁ = xe-* be a solution of the equation y" + 2y' + y = 0. Find the second solution from y₁ by…

A: We know that if y1 be a solution to the second order homogeneous lineardifferential equation…

Q: 6) Solve for y: 3"*1 = 9"-1

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Q: Solve. y'' – 36y = et The general solution will be 6t 6t y(t) : cje + c2e +

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Q: Find the general solution to y''-1=0

A: y''-1 =0y'' = 1y' = ∫1 dxy' = x + By =∫(x + B) dxy = x22 + Bx + A

Q: Find all solutions of the equation x2y' = y3 − 5x2y3 explicitly

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Q: y' = et ; y(0) = 2 find the general solution

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Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

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Q: Solve the following IVP. y"'-5y"-22y'+56y=0 y(0)=1 y'(0)=-2 y''(0)=-4

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Q: How do I find the particular solution yp in the equation above?

A: For particular equation we will crate function for particular integral. Then we solve it by using…

Q: 3. Solve each equation. y(0) = 1, y' (0) = -1 (a) y" + 4y = 0, (b) y" + 5y = 0

A: We have to solve given problem:

Q: Solve for y(x):  y’’ – 5y’ + 12y = 0; y(2) = 0; y’(2) = -4

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Q: The general solution of y' = 10 can be written in the form Y =C D

A: We are solving the given problem by using the method of separation of variable.

Q: 5. Solve, using the method of undetermined coefficients: y" + 2y' = 2x + 5 – e-2= %3D

A: First we shall get particular solution of y''+2y'=2x+5. Using method of undetermined coefficients y…

Q: Solve by undetermined coefficients. y" – 3y' = 6e – 2e", y(0) = 0, y (0) = 0.

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Q: x.y’ + y + 2y’ – xsinx = 2sinx solve the equation

A: Given that xy'+y+2y'-xsinx=2sinx The equation can be rewritten as, xdydx+y+2dydx-xsinx=2sinx So,…

Q: Solve the following difference equation with initial conditions: 12Yn + Yn+1 = Yn+2, Y₁ = −2, Y₂ =…

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Q: If ty'+y=6, y(1)=3 , what is the solution to the equation?

A: Consider the initial value problem: ty'+y=6, y(1)=3. Rewrite the equation:…

Q: Find the general solution of the equation

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Q: Solve the following initial value problems: (y + 2y - 3y = u(t-1)-u(t-3), y (0) = 0, y'(0) = -1.

A: The initial value problem is given as y''+2y'-3y=u(t-1)-u(t-3) with initial condition y(0)=0,…

Q: Solve for y. y' = 7x + xy; y = 5 when x= 0 y =

A: We have to solve for y for the given differential equation: y'=7x+xy; y=5 when x=0. Rewriting the…

Q: .1 Solve the equation x'y"-3xy'+3y 2x'e by method of variation of parameters.

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Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

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Q: Find the general solution of the following equation valid near the origin: (1+4x2)y''-8y=0

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Q: Find the general solution of the given equation y''  - 9y = 0

A: From the given data: