Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The variables $x$ and $t$ are linked by the differential equation $\frac{dx}{dt} = x^2(1 + 2x)$, with the condition that $x = 1$ when $t = 0$.
(main)[11]

Use partial fractions to solve the differential equation, and express your answer as $t$ in terms of $x$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Give a suitable partial-fractions form for $\frac{1}{x^2(1+2x)}$

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