(a) Using Picard's method, solve $y' = -xy$ with $y(0) = 1$ upto thir…

Question

(a) Using Picard's method, solve $y' = -xy$ with $y(0) = 1$ upto third approximation.

(b) Use the Runge - Kutta method of fourth order to find $y(1.2)$ with $h = 0.1$ for the initial value problem $\frac{dy}{dx} = x^2 + y^2$, $y(1) = 1.5$.

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