Class 12 Mathematics - Chapter Differential Equations NCERT Solutions | y = Ax : xy' = y (x ≠ 0)
y = Ax : xy' = y (x ≠ 0)
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.
More Questions From Class 12 Mathematics - Chapter Differential Equations
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