Solve the differential equation
dydx=2xlnxy \frac{\text{d}y}{\text{d}x} = \frac{2x \ln x}{y} dxdy=y2xlnxfor x>0x > 0x>0, given that y=3y = 3y=3 when x=1x = 1x=1.
Write your answer in the form y2=f(x)y^2 = f(x)y2=f(x).
363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.