Math  /  Calculus

QuestionH.w Solve: y+2y+y=4exlnx\quad y^{\prime \prime}+2 y^{\prime}+y=4 e^{-x} \ln x

Studdy Solution
The general solution to the differential equation y+2y+y=4exlnxy^{\prime \prime}+2 y^{\prime}+y=4 e^{-x} \ln x is y=c1ex+c2xex+2x2exlnx3x2exy = c_1e^{-x} + c_2xe^{-x} + 2x^2e^{-x}\ln x - 3x^2e^{-x}.

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