Constant coefficient second order equationsEdexcel International A Level Further Maths: Mind map

Exam questions on Constant coefficient second order equations

1. Consider the differential equation $\frac{d^2y}{dx^2}-5\frac{dy}{dx}+6y=0$.
   Find the particular solution for which $y=1$ and $\frac{dy}{dx}=0$ when $x=0$.2 marks
2. Consider the differential equation $\frac{d^2y}{dx^2}+6\frac{dy}{dx}+9y=0$.
   Find the particular solution for which $y=2$ and $\frac{dy}{dx}=0$ when $x=0$.2 marks
3. Consider the differential equation $\frac{d^2y}{dx^2}+2\frac{dy}{dx}+5y=5x+7$.
   Find the complementary function.3 marks