a) Solve the differential equation x \frac{d y}{d x}=6 x^{3}+4 subject to the conditions y(0) 2. b) Find the particular solution of the equation e^{x} \frac{d y}{d x}=4 given that

y = 3 when x =0. c) Solve \frac{d y}{d x}=\frac{2 x}{y+1}