Euler Method for system of differential equations example

Introduction : Euler Method for system of differential equations Question : Solution: \[\left(\begin{array}{c}y_1' \\y_2' \end{array}\right)=\left(\begin{array}{cc}-t^2 & t \\2-t & 0 \end{array}\right)\left(\begin{array}{c}y_1 \\y_2 \end{array}\right)+\left(\begin{array}{c}1\\t \end{array}\right)\] f(t,y_1,y_2 )=-t^2 y_1+ty_2+1 g(t,y_1,y_2 )=(2-t) y_1+0y_2+t…