Application Of Integration

For any real numbers \(\alpha\) and \(\beta\), let \({y_{\alpha ,\beta }}(x)\), x\(\in\)R, be the solution of the differential equation \({{dy} \over {dx}} + \alpha y = x{e^{\beta x}},y(1) = 1\). Let \(S = \{ {y_{\alpha ,\beta }}(x):\alpha ,\beta \in R\}\). Then which of the following functions belong(s) to the set S?