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1. Consider the homogeneous second-order ODE V" +64 +13y = 0 which represents some damped harmonic motion. Find the gene
Posted: Tue Apr 26, 2022 5:40 pm
by answerhappygod
- 1 Consider The Homogeneous Second Order Ode V 64 13y 0 Which Represents Some Damped Harmonic Motion Find The Gene 1 (25.26 KiB) Viewed 40 times
1. Consider the homogeneous second-order ODE V" +64 +13y = 0 which represents some damped harmonic motion. Find the general solution to the ODE. 2. Now, using your general solution, find the solution to the IVP V" +64 + 13y = 0, y(0) = 3.7(0) = -9 3. Now consider the same second-order ODE, but this time with a forcing term! V" + 6y + 13y = 39us(t), y(0) = 3, 7(0) = -9 Solve the IVP. Note that the forcing term involves the Heaviside function (so we will need to use Laplace transforms) Note: Please use technology, like Maple, to do any partial fraction decompositions Hint: To find the inverse Laplace transform, completing a square might be helpful.