allerySolve x dy/dx + y = x²:
Ay = x²/3 + C/x (linear in y, IF μ = x)
By = x²/3 + C/x
Cy = x²
Dy = x + C
Answer & Solution
Correct answer: A. y = x²/3 + C/x (linear in y, IF μ = x)
**Divide by x:** dy/dx + y/x = x.
P = 1/x, μ = e^(ln x) = x. (xy)' = x · x = x².
We have xy = x³/3 + C → y.
So xy = x²/3 + C/x.
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