(3) Problem 37 from Section 5.3 Find the general solution of the following differential equation. Then solve the initial value problem. $y'' + y = 4 \sin(2t)$; $y(0) = 1$, $y'(0) = 0$.
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The characteristic equation is $r^2 + 1 = 0$, which has roots $r = \pm i$. The complementary solution is $y_c(t) = c_1 \cos(t) + c_2 \sin(t)$. Show more…
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