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    Linearly independent solutions

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    Determine another linearly independent solution to y''+2xy'+2y=0 given that one homogeneous solution to this ODE is y_1(x)=exp(-x^2). Verify linear independence by calculating the wronskian.

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    The solution of the Posting ID 226616

    It is given that is one homogeneous solution of the equation

    --------------------------(1)

    Let be the complete solution of the equation (1), where is some function of to be determined.

    ...

    Solution Summary

    This provides an example of finding a linearly independent solution to a differential equation.

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