| Exam Board | AQA |
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2013 |
| Session | January |
| Topic | Fixed Point Iteration |
1 A curve passes through the point (1,3) and satisfies the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { x } { 1 + x ^ { 3 } }$$
Starting at the point ( 1,3 ), use a step-by-step method with a step length of 0.1 to estimate the value of \(y\) at \(x = 1.2\). Give your answer to four decimal places.