Assertion (A): The solution of differential equation dy dx = y x + y x is ( y x ) = xC …
Mathematics · Class 12 · CBSE — Differential Equations
Assertion (A): The solution of differential equation \(\dfrac{dy}{dx} = \dfrac{y}{x} + \tan\dfrac{y}{x}\) is \(\cos\left(\dfrac{y}{x}\right) = xC\).
Reason (R): \(\displaystyle\int \dfrac{1}{x}\,dx = \log|x| + C\).
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(D) (A) is false but (R) is true.
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