# slope definition question

• Oct 21st 2010, 12:02 PM
transgalactic
slope definition question
y(x) has a point (1,3) so the tangent of y(x) in (x,y) point passes y axes in a point
2xy^2
find y?

how i tried:
y'=f(x,y)
y is the solution of the differential equation.
without knowing y we can find its slope by putting the values in f(x,y)
if we find a function which is tangent in every point the field then its a solution.

the line which has a slope of y'(x)=f(x,y) passes threw (0,2xy^2)
that is theory i know i dont know how to make it into a practice solution
• Oct 21st 2010, 01:58 PM
pickslides
Quote:

Originally Posted by transgalactic
2xy^2
find y?

how i tried:
y'=f(x,y)

Did you try to solve $\frac{dy}{dx} = 2xy^2$ ?
• Oct 21st 2010, 11:03 PM
transgalactic
i can solve this equation but
on what basis you say that the slope line formula is 2xy^2
they only say that this line passes threw a point (0,2xy^2)