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).
Practise Edexcel A Level Maths 11.10 Solving Differential Equations with exam-style questions for A Level Maths. 35 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.