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Math Help - Diff Eq with 'u' Substitution

  1. #1
    Member ~berserk's Avatar
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    Diff Eq with 'u' Substitution

    Hello I am having some trouble solving this equation, if anyone could shed some insight on what to do with the problem for the u substitution and perhaps the rest of the problem. Every online integrator seems to make the t^2 disappear and I can't figure out why.
    Diff Eq with 'u' Substitution-diffeq.jpg
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  2. #2
    Member Ruun's Avatar
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    Re: Diff Eq with 'u' Substitution

    u=t^3 \rightarrow t=u^{1/3} and du=3t^2dt \rightarrow dt=\frac{du}{3t^2}=\frac{du}{3u^{2/3}} Now substitute in the integral
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