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

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- Feb 16th 2009, 10:27 AMronaldo_07[SOLVED] Differential
Compute the general solution of the differential equation y' = $\displaystyle 3^x$ by integration.

- Feb 16th 2009, 10:41 AMJameson
- Feb 16th 2009, 10:50 AMronaldo_07
Is that a general formulae? do you know anywhere that they have a list of these formulaes?

- Feb 16th 2009, 10:52 AMronaldo_07
so is the answer $\displaystyle 3^x$$\displaystyle ln(3)$

- Feb 16th 2009, 10:53 AMJameson
- Feb 16th 2009, 11:07 AMronaldo_07
after differentiating my answer back i realised that my answer should be $\displaystyle 3^x$ x $\displaystyle \frac{1}{ln3}$

how do i get from $\displaystyle 3^xln3$ to $\displaystyle 3^x$ x $\displaystyle \frac{1}{ln3}$ - Feb 16th 2009, 11:07 AMJameson