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Differential Equations

Oswaal

CBSE

Grade 12

Question:

Integrating factor of differential equation $\dfrac{dy}{dx} + \frac{y}{x} = x^2$ is:
(a) $x$
(b) $\log x$
(c) $e^x$
(d) $x^2$

Step-by-Step Solution

Key Concept: IF = e^{\int 1/x dx} = e^{\log x} = x.

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: $x$

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