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    Solutions to various differential equations

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    Five Linear Homogeneous Differential equations that are to be solved using Variables separable and other standard methods are given in the attachment

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    Solve the following differential equations:


    This is a homogeneous equation, as the total degree of x and y in each term is same, 4.
    In such problems, we substitute y=xv, which gives

    Using this relation in (i), we get

    Using the variables separable method, we can write

    Integrating on both sides, we get

    Substituting the ...

    Solution Summary

    The solutions are provided to various differential equations using variables separable method and other standard methods to solve homogeneous, linear differential equations.