Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

Suppose that $x = 1$ when $t = 0$,

(main)[7]

Solve the differential equation $\frac{dx}{dt} = \frac{1}{x} - \frac{x}{4}$, and determine an expression for $x^2$ as a function of $t$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Variables are separated correctly” …