2. a) Obtain the first 4 non-zero terms solution of the initial value problem dx2d2yxdxdy+2y2=xy(1)=2dxdy(1)=3 using the Taylor expansion approach. b) Use the result of part (a) to obtain the value of y and dxdy at x=1.2. a) Solve problem (2) using the Improved Euler's Method (Heun's Method) with a stepsize of 0.2 . b) Set up the solution of the problem using the Matlab built-in program ode45(@yprime,xspan,yo)