Express 3x−3(x+1)(2x−1)\displaystyle \frac{3x - 3}{(x + 1)(2x - 1)}(x+1)(2x−1)3x−3 in partial fractions
Given that x>1x > 1x>1, find the general solution to the differential equation
(x+1)(2x−1)dydx=y(3x−3) (x + 1)(2x - 1) \frac{dy}{dx} = y(3x - 3) (x+1)(2x−1)dxdy=y(3x−3)Hence find the particular solution to the differential equation that satisfies y=6y = 6y=6 at x=5x = 5x=5, giving your answer in the form y=f(x)y = f(x)y=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.
