CAIE A Level Mathematics 9709 · Differential equations

Differential equations: calculation question

5 marksChallenge

A curve satisfies the differential equation $\frac{dy}{dx} = 5y^2$ . Given that $y = 5$ when $x = 0$ , find the particular solution for $y$ in terms of $x$ .

(a)
Find $y =$
[5]

Work it out, then check it

Your working is checked step by step against the answer key, with method marks, units and carried-forward errors handled the way a mark scheme handles them.

Answer this and get it marked, free

Free account, no card. Three marked written answers a day on the free plan.

How this question is marked

5 marks. Method marks are awarded for correct working even if the final answer is wrong, and a later part can still score if it correctly uses an earlier wrong answer.

Differential equations: calculation question

How this question is marked

More Differential equations questions