I need help with this math problem

1. Recall that the two-stage explicit Runge-Kutta method takes the form z1=ynz2=yn+ha2,1f(tn+c2h,z1)yn+1=yn+h(b1f(tn,z1)+b2f(tn+c2h,z2)) or equivalently the tableau 0c20a2,1b100b2 (a) (15 points) Use the model problem to find an inequality involving h that dictates absolute stability. Note, since we did not specify values for coefficients, so the inequality will also involve b1,b2 and a2,1. (b) (15 points) Recall that we derived the conditions b2=0,b1=1b2andc2=a2,1=2b21 as conditions for second order accuracy of explicit R-K method. Use these conditions and the result of part (a) to find the absolute stability region for h. You can assume is real. Note, a plot of the result in part (a) can show if an inequality is satisfied