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VMariaS [17]
3 years ago
14

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

Mathematics
1 answer:
Fofino [41]3 years ago
3 0
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 <span>y</span>= <span>C1 </span>cos3t + <span>C2 </span>sin<span>3t. </span>
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