a) Using Runge-Kutta of $4^{\text{th}}$ order, compute $y(0.4)$, given that $\frac{dy}{dx} = \frac{y^2 - x^2}{y^2 + x^2}$, $y(0) = 1$ and $h = 0.2$. b) Find the first and second derivatives of $y$ at…

a) Using Runge-Kutta of $4^{\text{th}}$ order, compute $y(0.4)$, give…

Previous year question with solution for Numerical Methods & Transform Calculus.