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(1 point) Transform the differential equation 7y" + 65y" - 252y — 2340y = 2e-⁹ -9t y(0) = 0 y (0) = 0 = 1 y" (0) into an
Posted: Wed May 04, 2022 10:34 am
by answerhappygod
- 1 Point Transform The Differential Equation 7y 65y 252y 2340y 2e 9t Y 0 0 Y 0 0 1 Y 0 Into An 1 (59.86 KiB) Viewed 34 times
(1 point) Transform the differential equation 7y" + 65y" - 252y — 2340y = 2e-⁹ -9t y(0) = 0 y (0) = 0 = 1 y" (0) 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-6 1 s+6 s+9 Taking the inverse Laplace transform we get y = = +