Thread: Differential equation problem(?)

A curve passing through the point(1, 1) has the property that, at each point P of the curve the gradient of the curve is 1 less than the gradient of OP. Find the equation of the curve

Have no idea how to do this so any help would be greatly appreciated , a poke in the right direction?
Thanks =)

Originally Posted by AshleyT

Have no idea how to do this so any help would be greatly appreciated , a poke in the right direction?
Thanks =)

Solve subject to the condition that y = 1 when x = 1.

Originally Posted by mr fantastic

Solve subject to the condition that y = 1 when x = 1.

Thankyou very much for your reply .
Where does y / x come from though if i may ask ?

Originally Posted by AshleyT

Thankyou very much for your reply .
Where does y / x come from though if i may ask ?

Another poke ....?

I assume that O is the origin and that P has coordinates (x, y). Then y/x is the gradient of the line segment OP.

Originally Posted by mr fantastic

Another poke ....?

I assume that O is the origin and that P has coordinates (x, y). Then y/x is the gradient of the line segment OP.

Thank-you