# Math Help - [SOLVED] Differential

1. ## [SOLVED] Differential

Compute the general solution of the differential equation y' = $3^x$ by integration.

2. Originally Posted by ronaldo_07
Compute the general solution of the differential equation y' = $3^x$ by integration.
Use this: $\frac{d}{dx} a^x = a^x*\ln(a)*dx$

3. Is that a general formulae? do you know anywhere that they have a list of these formulaes?

4. so is the answer $3^x$ $ln(3)$

5. after differentiating my answer back i realised that my answer should be $3^x$ x $\frac{1}{ln3}$

how do i get from $3^xln3$ to $3^x$ x $\frac{1}{ln3}$

6. Originally Posted by ronaldo_07
so is the answer $3^x$ $ln(3)$
$\frac{3^x}{\ln{3}}$. You have to divide by ln3 to compensate for when you take the derivative you will multiply by ln3