Modified Euler Method to solve initial value problem y'(t)=1/(1+2*t^2),y(0)=1

Introduction: In this question, we apply modified Euler Method to solve initial value problem y'(t)=1/(1+2*t^2),y(0)=1Question : Apply modified Euler Method to solve initial value problem\[y’\left(t\right)=\frac{1}{(1+2*t^{2})}, y(0)=1\]for \(0\le t \le 5 \) with stepsize h =0.5 and also find analytical solution…

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