allerySolution of differential equation dy/dx = y/x:
Ay = x
By = Cx (separable; integrates to ln y = ln x + C)
Cy = x²
Dy = ln x
Answer & Solution
Correct answer: B. y = Cx (separable; integrates to ln y = ln x + C)
We have dy/y = dx/x → ln|y|.
That is dy/y = ln|x| + C → y.
So dy/y = Cx.
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