Chapter 8.1, Problem 81E

Comparing Antiderivatives

(a) Explain why the antiderivative $y_1=e^{x+C}$ is equivalent to the antiderivative $y_2=C{e}^x$.

(b) Explain why the antiderivative $y_1={\sec }^{2}x+C_1$, is equivalent to die antiderivative $y_2={\tan }^{2}x+C$.