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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


    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.