Second-order linear differential equationsEdexcel A-Level Further Maths: Mind map

Exam questions on Second-order linear differential equations

1. Consider the differential equation $\frac{d^2y}{dx^2}+2\frac{dy}{dx}-8y=0$.
   Given that $y=0$ and $\frac{dy}{dx}=6$ when $x=0$, find the particular solution.2 marks
2. Consider the differential equation $\frac{d^2y}{dx^2}+4\frac{dy}{dx}+13y=0$.
   Given that $y=1$ and $\frac{dy}{dx}=1$ when $x=0$, find the particular solution.2 marks
3. Consider the differential equation $\frac{d^2y}{dx^2}-3\frac{dy}{dx}+2y=4x+2$.
   Find a particular integral.3 marks