Find the equation of the curve that passes through the point (3,2) for which the touching point of any tangent divide the line segment of the tangent located between the coordinate axes in half .

someone got any idea how to solve this ? its from the section of differential equations i am supposed to write differential equation but dunno how to construct the equation .. any ideas?

Question

Find the equation of the curve that passes through the point (3,2) for which the touching point of any tangent divide the line segment of the tangent located between the coordinate axes in half .

someone got any idea how to solve this ? its from the section of differential equations i am supposed to write differential equation but dunno how to construct the equation .. any ideas?

anonymous · Answer

let's see...

anonymous · Answer

we want a curve that passes thru $(3,2)$ and whose tangents line are all like this, yes?|dw:1376247941106:dw|