11 The variables \(x\) and \(y\) satisfy the differential equation
$$x ^ { 2 } \frac { \mathrm {~d} y } { \mathrm {~d} x } + y ^ { 2 } + y = 0$$
It is given that \(x = 1\) when \(y = 1\).
- Solve the differential equation to obtain an expression for \(y\) in terms of \(x\).
- State what happens to the value of \(y\) when \(x\) tends to infinity. Give your answer in an exact form.
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