Find a function f(y) with the property that: for each solution y(x) of dy/dx = f(y), the limiting value lim as x-> +inf of y(x) equals 3 if y(0) > 0.

Any help?

- Sep 8th 2009, 10:41 PMqtpipiBasic Diff EQ question: finding a function with given properties
Find a function f(y) with the property that: for each solution y(x) of dy/dx = f(y), the limiting value lim as x-> +inf of y(x) equals 3 if y(0) > 0.

Any help? - Sep 9th 2009, 04:09 AMchisigma
A possible solution of the problem is a function with the following derivative ...

with or

with or

with

A DE the solution of which has these properties is, among others, the following ...

... as you can easily verify...

Kind regards