(Solved): 5. Calculate / predict y(3), when yy=2xy(0)=2 a) Use Euler's method and step 0,1 . b) Use Run ...

5. Calculate / predict $\mathbf{y}(3)$, when $y^{\prime }-y=2xy(0)=2$ a) Use Euler's method and step 0,1 . b) Use Runge-Kutta method and step 0,1 . c) Draw pictures of calculated points. d) Solve differential equation using paper and pen and calculate $\mathbf{y}(3)$. e) Compare answers and errors.