Verify that the given two parameter family of functions is the general solution of the...

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Calculus

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Verify that the given two parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval 2x y 5xy y x x y x x 1 2 2 1 x x 0 0 15 1 The inctions x 1 2 and x satisfy the differential equation and are linearly independent since W x 1 2 x set of solutions of the associated homogeneous equation and yp 0 for 0 x So the functions x 1 2 and x 1 form a fundam is a particular solution of the nonhomogeneous equation

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