| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2008 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | First order differential equations (integrating factor) |
| Type | Standard linear first order - constant coefficients |
| Difficulty | Moderate -0.3 This is a straightforward application of the integrating factor method with a simple linear coefficient and right-hand side. While it's a Further Maths topic, the execution is mechanical: find μ = e^(-3x), multiply through, integrate x·e^(-3x) by parts, and add the constant. It's slightly easier than average because it requires no problem-solving insight, just routine technique application. |
| Spec | 4.10c Integrating factor: first order equations |
Solve the differential equation $\frac{dy}{dx} - 3y = x$
to obtain $y$ as a function of $x$. (Total 5 marks)
\hfill \mbox{\textit{Edexcel FP2 2008 Q1}}