Find the general solution of y/"+9y=t^2*e^3t+6.

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Mathematics

Milagros

24 June, 21:41

Find the general solution of y/"+9y=t^2*e^3t+6.

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Jessie Garner · Answer 1

We are given with the equation y" + 9 y = t^2 * e^3 t + 6 and asked to determine the general solution to this equation. we convert the equation into r^2 + 9 = 0. The solution to this equation is r = + / - 3i. This solution converted to trigonometric function is equivalent to y = C1 cos3t + C2 sin 3t.