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Thread: Differential Equations homework

  1. #1
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    Differential Equations homework

    I need some help with these two problems from my homework.

    For #2, I tried separating it but could't get far. I also tried using the method for exact equations, but started to get lost when integrating g(x).

    *Edit* Figured out #3.

    Differential Equations homework-capture.png

    Thank you.
    Last edited by marlonbustamante; Feb 16th 2016 at 02:41 PM.
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  2. #2
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    Re: Differential Equations homework

    Say that $\displaystyle {\mathrm d \over \mathrm d t}G(t)=g(t)$ and solve the exact equation. I got $\displaystyle xy+G(x)-G(y)=1$ after using the initial condition. From that you need to find $\displaystyle x$ and $\displaystyle y$ so that the terms in $\displaystyle G$ disappear.
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  3. #3
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    Re: Differential Equations homework

    Thank you. That cleared things up.
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