Question 29
Let $x(t)$ be a solution to the differential equation
$$
\left(x + x'\right)^2 + x \cdot x'' = \cos t
$$
with $x(0) = x'(0) = \sqrt{\frac{2}{5}}$. Compute $x\left(\frac{\pi}{4}\right)$.
$$
\left(x + x'\right)^2 + x \cdot x'' = \cos t
$$
with $x(0) = x'(0) = \sqrt{\frac{2}{5}}$. Compute $x\left(\frac{\pi}{4}\right)$.