Question

Determine the function f satisfying the given conditions.

f ' (x) = e^x/3
f (0) = 9

f (x) = A e^Bx + C

Answer 1

@SithsAndGiggles for sure you get the correct answer, hihihi

Answer 2

\[\begin{align*}
f'(x)&=e^{x/3}\\
\int f'(x)~dx&=\int e^{x/3}~dx\\
f(x)&=\cdots
\end{align*}\]
Plug in the initial condition and solve for the constant of integration, etc.

Answer 3

A=3, B=1/3, C=6?