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Solution - Show that the differential equation 2y^(x/y) dx + (y − 2x e^(x/y)) dy = 0 is homogeneous. Find the particular solution of this differential equation, given that x = 0 when y = 1. - Methods of Solving First Order, First Degree Differential Equations - Homogeneous Differential Equations

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Question

Show that the differential equation 2yx/y dx + (y − 2x ex/y) dy = 0 is homogeneous. Find the particular solution of this differential equation, given that x = 0 when y = 1.

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Solution for question: Show that the differential equation 2y^(x/y) dx + (y − 2x e^(x/y)) dy = 0 is homogeneous. Find the particular solution of this differential equation, given that x = 0 when y = 1. concept: Methods of Solving First Order, First Degree Differential Equations - Homogeneous Differential Equations. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)
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