| Exam Board | SPS |
|---|
| Module | SPS FM Pure (SPS FM Pure) |
|---|
| Year | 2024 |
|---|
| Session | February |
|---|
| Marks | 7 |
|---|
| Topic | First order differential equations (integrating factor) |
|---|
12. Find the general solution of the differential equation
$$x \frac { \mathrm {~d} y } { \mathrm {~d} x } - 2 y = \frac { x ^ { 3 } } { \sqrt { 4 - 2 x - x ^ { 2 } } }$$
where \(0 < x < \sqrt { 5 } - 1\)
[0pt]
[7 marks]
[0pt]
[BLANK PAGE]