Question
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.
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Text solutionVerified
Solution: Slopexy=x
ydy=xdx
integrating both side
P(0,-2)
C=-4
.
ydy=xdx
integrating both side
P(0,-2)
C=-4
.
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Question Text | 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. |
Answer Type | Text solution:1 |
Upvotes | 150 |