Solve the following differential equation (by hand, on paper) dxdy=xxywherey(1)=1 a) Given that the analytical solution is y=3x(x3+c), solve for c. Then for a step size h=x=0.2 : b) Modified Euler's Method for two steps (predictor corrector). c) Using fourth-order Runge-Kutta for two steps. d) How do these compare to the exact value at x=1.4