10.C] Given \frac{d y}{dx}=\frac{(1+x^2)y^2}{2} , 𝑦(0) = 1, 𝑦(0.1) = 1.06, 𝑦(0.2) = 1.12, 𝑦(0.3)=1.21, evaluate 𝑦(0.4) by using Milne’s predictor-corrector method.
Solve by using Milne’s predictor-corrector method
10.C] Given \frac{d y}{dx}=\frac{(1+x^2)y^2}{2} , 𝑦(0) = 1, 𝑦(0.1) = 1.06, 𝑦(0.2) = 1.12, 𝑦(0.3)=1.21, evaluate 𝑦(0.4) by using Milne’s predictor-corrector method.