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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.