7 The variables \(x\) and \(y\) are related by the differential equation
$$4 \frac { d ^ { 2 } y } { d x ^ { 2 } } - y = 3$$
It is given that, when \(x = 0 , y = - 3\) and \(\frac { \mathrm { dy } } { \mathrm { dx } } = 2\).
- Find \(y\) in terms of \(x\).
- Deduce the exact value of \(x\) for which \(y = 0\). Give your answer in logarithmic form.