(1 point) Transform the differential equation 7y" + 65y" - 252y — 2340y = 2e-⁹ -9t y(0) = 0 y (0) = 0 = 1 y" (0) into an
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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
(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 = = +
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