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Math Help - First-order differential/seperable equation problem

  1. #1
    s3a
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    First-order differential/seperable equation problem

    How do I solve the following?: du/dt = 2 + 2u + t + tu

    What I tried:
    I multiplied both sides by dt but then I know I have to isolate u but how do I do that?

    Any help would be greatly appreciated!
    Thanks in advance!
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  2. #2
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    2+2u+t+ut=2(u+1)+t(u+1)=(u+1)(2+t), so your equation is separable.
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  3. #3
    s3a
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    Thanks!

    Edit: Just something I want to confirm; the book says Ae^(2t + t^2 /2) - 1 where A = e^c

    but e^c - 1 is still a constant so I called it K. So is it acceptable to say (instead of what the book says) u = K*e^(2t + t^2 /2) ?
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