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Thread: Solve this ordinary differential equation

  1. #1
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    Solve this ordinary differential equation

    Hi everyone

    I need help in finding the solution to this ordinary differential equation in the attachment shown.

    Thank you.
    Attached Thumbnails Attached Thumbnails Solve this ordinary differential equation-capture.jpg  
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  2. #2
    Junior Member Walagaster's Avatar
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    Re: Solve this ordinary differential equation

    Try rationalizing the denominators.
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  3. #3
    MHF Contributor
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    Re: Solve this ordinary differential equation

    The LHS works well under a trigonometric substitution.
    $$u=\tan y \quad \text{or} \quad u=\sinh y$$
    The right hand side seems to work best under rationalisation of the denominator followed by a substitution. (All from inspection, I may be wrong on working it through).
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