| Exam Board | Edexcel |
| Module | FP2 (Further Pure Mathematics 2) |
| Session | Specimen |
| Topic | First order differential equations (integrating factor) |
5. (a) Obtain the general solution of the differential equation
$$\frac { \mathrm { d } S } { \mathrm {~d} t } - 0.1 S = t$$
(b) The differential equation in part (a) is used to model the assets, \(\pounds S\) million, of a bank \(t\) years after it was set up. Given that the initial assets of the bank were \(\pounds 200\) million, use your answer to part (a) to estimate, to the nearest \(\pounds\) million, the assets of the bank 10 years after it was set up.