CAIE A Level Mathematics 9709 · Differential equations

Differential equations: calculation question

5 marksChallenge

Solve the differential equation $\frac{dy}{dx} = \frac{3 y^2}{x}$ , given that $y=1$ when $x=1$ . Find $y$ in terms of $x$ .

(a)
Find $y$ in terms of $x$ .
[5]

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