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Show that the equation is exact, and obtain its general solution. dy Ite 2y = dx 2xe-2y Solution: Arrange in M dx + N dy
Show that the equation is exact, and obtain its general solution. dy Ite 2y = dx 2xe-2y Solution: Arrange in M dx + N dy = 0 (1+e-2y) dx = 2xe-2/dy (1+e-2y) dx - 2xe-2ydy = 0 . . . u(x, y ) = x(1 +ez> ) = k
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