# [SOLVED] Differential

• Feb 16th 2009, 11:27 AM
ronaldo_07
[SOLVED] Differential
Compute the general solution of the differential equation y' = $3^x$ by integration.
• Feb 16th 2009, 11:41 AM
Jameson
Quote:

Originally Posted by ronaldo_07
Compute the general solution of the differential equation y' = $3^x$ by integration.

Use this: $\frac{d}{dx} a^x = a^x*\ln(a)*dx$
• Feb 16th 2009, 11:50 AM
ronaldo_07
Is that a general formulae? do you know anywhere that they have a list of these formulaes?
• Feb 16th 2009, 11:52 AM
ronaldo_07
so is the answer $3^x$ $ln(3)$
• Feb 16th 2009, 11:53 AM
Jameson
• Feb 16th 2009, 12:07 PM
ronaldo_07
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 $\frac{1}{ln3}$
• Feb 16th 2009, 12:07 PM
Jameson
Quote:

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