Consider the following statements: I. y = xe^{2x} is the solution of \frac{dy}{dx} = y(2 + \frac{1}{x}) II. y = x\ln ⁡|.x|. + cx is the solution of \frac{dy}{dx} = \frac{x + y}{x} Which of the statements given above is/are correct?

Correct Answer is : Both I and II

UPSC NDA II 2025 Mathematics Paper

Question : 93 of 120

Marks: +1, -0

Consider the following statements:
I. y=xe2x is the solution of ‌

=y(2+‌

)
II. y=xln⁡|.x|.+cx is the solution of ‌

=‌

x+y

Which of the statements given above is/are correct?

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