(Solved): (1 point) Solve the initial value problem y=(x+y4)2 with y(0)=0. a. To solve this, we should ...

(1 point) Solve the initial value problem $$y^{?}=(x+y?4{)}^2$$ with $$y(0)=0$$. a. To solve this, we should use the substitution $$\begin{array}{lc}u=& \text{ help (formulas) }\\ u^{?}=& \text{ help (formulas) }\end{array}$$ Enter derivatives using prime notation (e.g., you would enter $$y^{?}$$ for $$\frac{dy}{dx}$$ ). b. After the substitution from the previous part, we obtain the following differential equation in $$x,u,u^{?}$$. help (equations) c. The solution to the original initial value problem is described by the following equation in $$x,y$$. help (equations) lote: You can earn partial credit on this problem.