Mathematics · Ordinary Differential Equations

Let φ denote the solution to the boundary value problem (BVP): (xy')' - 2y' + y x = 1, 1 < x < e 4 with boundary conditions y(1) = 0, y(e 4 ) = 4e 4 . Then the value of φ(e) is:

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-e/2

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Let &phi; denote the solution to the boundary value problem (BVP): (xy')' - 2y' + y x = 1, 1 < x < e 4 with boundary conditions y(1) = 0, y(e 4 ) = 4e 4 . Then the value of &phi;(e) is: