Use Picard's method to solve $\frac{dy}{dx}=1+x{y}_2{x}_0=2y_0=0$

Select one:

$\frac{x^3}{15}-\frac{x^2}{12}+\frac{x^2}{6}-\frac{x^2}{2}+x+\frac{7}{3}$

b$.\frac{x^3}{15}-\frac{x^2}{4}+\frac{x^3}{3}-\frac{x^2}{2}+x-\frac{22}{15}$

c$.\frac{x^4}{24}-\frac{x^2}{12}+\frac{x^3}{3}-\frac{x^2}{2}+x-\frac{18}{2}$

d$.\frac{x^4}{15}-\frac{x^4}{4}+\frac{x^2}{3}+\frac{y^2}{2}+x+\frac{7}{12}$