3.6.6 Integration (A-level only)

Solve the differential equation

\frac{\text{d}y}{\text{d}x} = \frac{2x \ln x}{y}

for $x > 0$ , given that $y = 3$ when $x = 1$ .

Write your answer in the form $y^2 = f(x)$ .

[7]

Solve the differential equation

\frac{\text{d}y}{\text{d}x} = \frac{2x \ln x}{y}

for $x > 0$ , given that $y = 3$ when $x = 1$ .

Write your answer in the form $y^2 = f(x)$ .

[7]

3.6.6 Integration (A-level only) Questions