Find the solution of the given initial value problem: y(t) = y (4) + 2y"+y" + 8y′ − 12y = 18 sin(t) + 60e-t; 57 81 y(0) = 0, y'(0) 5 = 5 , y″(0) = 6 y" (0) = -

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A: The solution is given as

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A: Step 1:Step 2:Step 3:Step 4:Step 5:

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A: Substitute the general solution into the differential equation ..

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Q: FIND THE SOLUTION TO THE FOLLOWING DE.  y" - 2y' = ex (x2 + 2) cos5x

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