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Math Help - [SOLVED] Differential

  1. #1
    Member ronaldo_07's Avatar
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    [SOLVED] Differential

    Compute the general solution of the differential equation y' = 3^x by integration.
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    Quote Originally Posted by ronaldo_07 View Post
    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
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  3. #3
    Member ronaldo_07's Avatar
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    Is that a general formulae? do you know anywhere that they have a list of these formulaes?
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    Member ronaldo_07's Avatar
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    so is the answer 3^x ln(3)
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  6. #6
    Member ronaldo_07's Avatar
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    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}
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  7. #7
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    Quote Originally Posted by ronaldo_07 View Post
    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
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