Chapter 5, Problem 9RE

Evaluate the integrals.

(a) $\frac{dy}{dx}=\frac{1-x}{\sqrt{x}},y\left(1\right)=0$

(b) $\frac{dy}{dx}=\cos x-5e^x,y\left(0\right)=0$

(c) $\frac{dy}{dx}=\sqrt[3]{x},y\left(1\right)=2$

(d) $\frac{dy}{dx}=x{e}^{x^2},y\left(0\right)=0$