Question:
y = Ax : xy^' = y (x ≠ 0)

Answer:

y = Ax

Differentiating both sides with respect to x, we get:

\begin{align}y^{'}=\frac{d}{dx}(Ax)\end{align}

⇒ y ^' = A

Substituting the value of y^' in the given differential equation, we get:

L.H.S. = xy^'= xA = Ax = y = R.H.S.

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

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Answered by Ekta Mehta
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Answered by Ekta Mehta
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Question:
y = Ax : xy^' = y (x ≠ 0)