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Math Help - Calculus issue

  1. #1
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    Calculus issue

    How to solve this problem?

    dy/dx= 2y, y(1)= 3
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by Abalo View Post
    How to solve this problem?

    dy/dx= 2y, y(1)= 3
    This is a first order seperable ODE so

    \frac{dy}{dx}=2y \iff \frac{dy}{y}=2dx

    Now just integrate both sides to get

    \ln|y|=2x+C \iff y=e^{2x+c}\iff y=Ae^{2x}

    Now just use the inital condition to solve for A.
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