Solve the given initial value problem. y" + 12y' + 36y = 0; y(0)= 1, y'(0) = 1

Q: Solve y" + 3y" – 3y' – y = x+ e².

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Q: B. Solve x' = 01 1 54 x + 12e4t 18e4t

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A: The height of the sand box is proportional to the volume of the sand. When the height is 2.25 in the…

Q: Use the 2 solutions Bernoulli's equation y' + -√√y=0 y x

A: The given differential equation y'+yx-y=0. We have to find the solution of the differential…

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

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Q: 1. Solve Cauchy-Euler equation. r²y" – ry' + y = 2x

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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: Solve 2y'" + 9y' + 4y = 0, y(0) = 8, y'(0) = 14.5 %3D y(t) =

A: Given 2y"+9y'+4y=0 ; y(0)=8 ; y'(0)=-14.5 We need to solve the given differential equation.

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: B. Solve y' + = y²x*.

A: the given differential equation is: y'+4yx=y2x3 the differential equation can be written as:…

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: 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: solve by bernoulli y' + (8/x)y = x6y4

A: We will find out the required general solution for given Bernoulli's equation.

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

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Q: Solve y" -8y' +16y = 0

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Q: Find the general solution of the equation

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Q: Solve y(H) a) Y (6) = y (4) = ? %3D b) y"-y' • 24 ylo)=1;y'(0)=-2 %3D

A: We have to find the solution y(t) from the following  a) y(s)=1s2(s2+1) b) y''-y'=2t, y(0)=1,…

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: Solve the y" + 2y + y = x², y(0) = 1, y'(0) = 2.

A: Given initial value problem isWe have to solve the above IVP.

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

A: From the given data: