Solve the given initial value problem. y" +81y=0; y(0)=2, y'(0)=4 y(t) =

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

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Q: Use the convolution to write a formula for problem: y" + 25y = f(t), y(0) = -2, y(0) = 1. |

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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: y'=7y²², y = 3 when x = 1

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Q: Find the particular solution. y' = ex − 8;    y(0) = 9

A: Given, y' = ex − 8

Q: 1) y'+ = 5, y(1) = 4 Solve

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

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