#### Question

verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation

y = Ax : xy′ = y (x ≠ 0)

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#### Solution

y = Ax

Differentiating both sides with respect to *x*, we get:

Hence, the given function is the solution of the corresponding differential equation.

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#### Reference Material

Solution for question: Verify that the Given Functions (Explicit Or Implicit) is a Solution of the Correspnding Differential Equation Y = Ax : Xy′ = Y (X ≠ 0) concept: null - General and Particular Solutions of a Differential Equation. For the courses CBSE (Science), CBSE (Commerce), CBSE (Arts)