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Class 12 Differential Equations · Mcq Single Correct1 Marksseparable_differential_equations

Class 12 Maths · Differential Equations · Mcq Single Correct #21

Solve x dy − (1 + x²)dx = dx, x ≠ 0.

(A) y = 2x + x³/3 + C
(B) y = 2ln x + x³/3 + C
(C) y = x²/2 + C
(D) y = 2ln|x| + x²/2 + C

✅ Step-by-Step Solution

Final Answer: Option (D): y = 2ln|x| + x²/2 + C

Rearrange to y′ = x + 2/x and integrate.

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