1 Point Use The Laplace Transform To Solve The Following Initial Value Problem Y 8y 0 Y 0 3 Y 0 3 First 1 (45.46 KiB) Viewed 33 times
1 Point Use The Laplace Transform To Solve The Following Initial Value Problem Y 8y 0 Y 0 3 Y 0 3 First 2 (28.57 KiB) Viewed 33 times
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 8y = 0 y(0) = 3, y'(0) = 3 First, using Y for the Laplace transform of y(t), i.e., Y = = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y (s) = and write the above answer in its partial fraction decomposition. Y(s) = A B + where
Now solve for Y (s) = and write the above answer in its partial fraction B decomposition, Y(s) = A + where s+a s+b a <b Y(s) = + Now by inverting the transform, find y(t) =
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