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Differential Equations

NCERT Class 12

CBSE

Grade 12

Question:

General solution of $\dfrac{dy}{dx} = \dfrac{y}{x}$ is:
(a) $y = C x$
(b) $x y = C$
(c) $y = C/x$
(d) $x + y = C$

Step-by-Step Solution

$\log y = \log x + \log C \Rightarrow y = C x$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating solution $y = Cx$: 1.0 Mark

Correct Answer: $y = C x$

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