1. The problem statement, all variables and given/known data Use the Runge-Kutta method to find approximate values of the solution of the initial-value problem y'+(x^2)y=sin xy, y(1)=pi; h=0.2 at the points xi=x0+ih, where x0 is the point where the initial condition is imposed and I=1, 2. 2. Relevant equations yn+1=yn+hf(xn+1/2h, yn+(1/2)hf(xn, yn)) f(x, y)=sin xy-(x^2)y h=0.2, x0=1, y0=pi. 3. The attempt at a solution y1=pi+0.2f(1+0.1, pi+0.1f(1, pi)) =pi+0.2f(1.1, 2.83291) =2.4669 y2=2.4669+0.2f(1.3, 2.4669+0.1f(1.2, 2.4669)) =2.4669+0.2f(1.3, 2.11683) =1.76101 But the answer is: y1=2.475605264, y2=1.825992433. I got y1=2.4669 and y2=1.76101. Which is the correct answer? Mine or the book's answer? If I'm wrong, please correct me.