Determine the solutions of the following first-order ordinary differential equations using MATLAB's symbolic mathematics.

(a) $y^{\prime}=8 x^{2}+5$ with initial condition $y(2)=0.5$.

(b) $y^{\prime}=5 x \sin ^{2}(y)$ with initial condition $y(0)=\pi / 5$.

(c) $y^{\prime}=7 x \cos ^{2}(y)$ with initial condition $y(0)=2$.(d) $y^{\prime}=-5 x+y$ with initial condition $y(0)=3$.

(e) $y^{\prime}=3 y+e^{-5 x}$ with initial condition $y(0)=2$.