I am stuck on the problem:
Find all continuous functions $h$ satisfying $$\int_{0}^{x}h(y)dy=\left [ h(x) \right ]^{2}+C$$ for some constant $C$.
I am stuck on the problem:
Find all continuous functions $h$ satisfying $$\int_{0}^{x}h(y)dy=\left [ h(x) \right ]^{2}+C$$ for some constant $C$.