Question

Express the solution of the given initial value problem as a sum of two oscillations. Primes denote derivatives with respect to time $t$. Graph the solution function $x(t)$ in such a way that you can identify and label its period. $x'' + 16x = 36 \cos 2t$, $x(0) = x'(0) = 0$ Express the solution of the given initial value problem as a sum of two oscillations. $x(t) = ?$ (Simplify your answer. Type an exact answer, using radicals as needed.) Graph the solution function $x(t)$. Choose the correct graph below. Identify the period. P = ? (Type an exact answer in terms of $\pi$.)

          Express the solution of the given initial value problem as a sum of two oscillations. Primes denote derivatives with respect to time $t$. Graph the solution function $x(t)$ in such a way that you can identify and label its period.
$x'' + 16x = 36 \cos 2t$, $x(0) = x'(0) = 0$
Express the solution of the given initial value problem as a sum of two oscillations.
$x(t) = ?$
(Simplify your answer. Type an exact answer, using radicals as needed.)
Graph the solution function $x(t)$. Choose the correct graph below.
Identify the period.
P = ?
(Type an exact answer in terms of $\pi$.)

Express the solution of the given initial value problem as a sum of two oscillations. Primes denote derivatives with respect to time t. Graph the solution function x(t) in such a way that you can identify and label its period.
x” + 16x = 36 cos 2t, x(0) = x'(0) = 0
Express the solution of the given initial value problem as a sum of two oscillations.
x(t) = ?
(Simplify your answer. Type an exact answer, using radicals as needed.)
Graph the solution function x(t). Choose the correct graph below.
Identify the period.
P = ?
(Type an exact answer in terms of π.)

Added by Daniel D.

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