Express 5x−15(x+1)(2x−3)\displaystyle \frac{5x - 15}{(x + 1)(2x - 3)}(x+1)(2x−3)5x−15 in partial fractions
Given that x>2x > 2x>2, find the general solution to the differential equation
(x+1)(2x−3)dydx=y(5x−15) (x + 1)(2x - 3) \frac{dy}{dx} = y(5x - 15) (x+1)(2x−3)dxdy=y(5x−15)Hence find the particular solution to the differential equation that satisfies y=32y = 32y=32 at x=2x = 2x=2, giving your answer in the form y=f(x)y = f(x)y=f(x)
Practise Edexcel A Level Maths Integration with exam-style questions for A Level Maths. 483 questions covering 13.1 Integrating x^n, 13.2 Indefinite Integrals, 13.3 Finding Functions, 13.4 Definite Integrals, 13.5 Areas under Curves, 13.6 Areas under the x-axis, and 13.7 Areas between curves and lines, 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.
