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Verify that y = sin 6t + 4cos 6t is a solution to the initial value problem 4y + 144y =0; y(0) = 4, y'(0)

Verify that y = sin 6t + 4cos 6t is a solution to the initial value problem 4y" + 144y =0; y(0) = 4, y'(0) =6. Find the maximum of ly(t)| for - co

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