(a)[7]
Solve the differential equation and express $x$ as a function of $t$.
(b)[1]
State the behaviour of $x$ as $t$ tends to infinity.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $t$ are linked by the differential equation $e^{3t}\,\frac{dx}{dt} = \cos^2 2x$, for $t \geq 0$. It is given that $x = 0$ when $t = 0$.