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(1 point) Transform the differential equation -9t 5y" + 54y" – 500y' – 5400y = 9e-91 - = y(0) = 0 y'(0) = 0 = y (0) = 1
Posted: Thu May 12, 2022 6:35 am
by answerhappygod
- 1 Point Transform The Differential Equation 9t 5y 54y 500y 5400y 9e 91 Y 0 0 Y 0 0 Y 0 1 1 (64.11 KiB) Viewed 25 times
(1 point) Transform the differential equation -9t 5y" + 54y" – 500y' – 5400y = 9e-91 - = y(0) = 0 y'(0) = 0 = y (0) = 1 = into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). = - Therefore Y = = 1 S-10 + 1 s+10 + sto 1 s+9 Taking the inverse Laplace transform we get y =