Q.1 – Using Runge-Kutta method of 4th order, solve dy/dx=y^2-x^2/y^2+x^2 with y(0)=1 at x=0.2.

Q.2 – Evaluate ∫∫ dxdy / 1+x+y by Simpson’s 1/3 rule with ∆x = ∆y = 0.5 where 0

Q.3 – Write down the formula to solve 2nd order differential equation using Runge-Kutta method of 4th order.