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)
92 exam-style questions on WJEC A Level Maths 4.6 Integration (A-level only), covering 4.6.1 Integration (A-level only) and 4.6.2 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.