Find the equation of a curve passing through the point (0, 2)give | Filo
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Class 12

Math

Calculus

Differential Equations

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Find the equation of a curve passing through the point given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

Solution: Solution: Slopexy=x

ydy=xdx
integrating both side


P(0,-2)
C=-4
.
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