(i)[6]
Solve the differential equation and write $x$ as a function of $t$.
(ii)[1]
State what happens to $x$ when $t$ becomes very large.
(iii)[1]
Explain why $x$ increases as $t$ increases.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $t$ satisfy the differential equation $e^{2t}\frac{dx}{dt} = \cos^2 x$, with $t \geq 0$. When $t = 0$, $x = 0$.
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