Differential EquationMedium
Question
A curve passes through the point
Let the slope of the curve at each point (x, y) be
. Then the equation of the curve is
Let the slope of the curve at each point (x, y) be
. Then the equation of the curve is Options
A.

B.

C.

D.

Solution

Let y = vx


cos vdv

Sin v = ln x + c

∴ passing through

∴

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