solve the following differential equation:

y' + (y)tanh(x) - 2e^x = 0

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  1. First solve the homogeneous equation:

    y' + (y)tanh(x)= 0

    Replace the integration constant by an unknown function and substitute that back in the Diff. equation:

    y' + (y)tanh(x) - 2e^x = 0

    then solve for that unknown function.

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