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Math Help - Integration - Correct?

  1. #1
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    Integration - Correct?

    Hi!

    I have been given an equation:
    \frac{dy}{dt}=\lambda y

    Which by integration I find to be:

    \int \frac{dy}{dt}dt = \int \lambda y dt \rightarrow lny+c = \int \lambda dt = \lambda t+C2

    Is this correct?
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  2. #2
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    Quote Originally Posted by jokke22 View Post
    Hi!

    I have been given an equation:
    \frac{dy}{dt}=\lambda y

    Which by integration I find to be:

    \int \frac{dy}{dt}dt = \int \lambda y dt \rightarrow lny+c = \int \lambda dt = \lambda t+C2

    Is this correct?
    Yes but you can combine the two constants. Usually we write the solution as y = ce^{\lambda t} .
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  3. #3
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    Aha! I didn't know they were the same at the point! Thanks danny!
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