Continued: For this problem consider the initial value problem below.

$\frac{dy}{dx}=\frac{x}{2}(1y^2),y(0)=1$

b$)$ Below is the slope field $($directional field$)$ of $\frac{dy}{dx}.$ Sketch a solution to the initial value problem and then use your sketch to estimate $y(1)$ to one decimal place. $[4$pts$]$

$y(1)$~~

c$)$ Estimate $y(1)$ to four decimal places using Euler's method with step$-$size $0\mathrm{.}25."$My calculator said this" does not count as showing your work; go through the method. All work and steps must be clearly shown. $[6$pts$]$

$y(1)$~~