13. Intro to Differential Equations

Use Euler’s method with a step size of $h=0.5$ to estimate the value of $y\left(2\right)$, where $y$ is the solution of the initial value problem $y^{\prime }=2x,y\left(0\right)=1$

Let $y^{\prime }\left(t\right)=\frac{y}{2}$ with $y\left(0\right)=2$. Compute the first three approximations given by Euler’s Method with a step size of $h=0.2$.