Finding the solution of this equation

1. Jan 2, 2010

pliu123123

Is the following formula solvable?

$$\frac{dw}{dv}_{atw0}+\frac{dv}{dw}_{atv0}=0$$

Thanks very much~

Last edited: Jan 2, 2010
2. Jan 4, 2010

LCKurtz

$w = i v + C,\ w = -iv + D$

3. Jan 6, 2010

pliu123123

o,thanks a lot~

4. Jan 6, 2010

Eren10

i am trying to solve a ODE using the method of characteristics

now i found this equation, but i can't solve it:

dy/dx = ( 2*y^2 - x^6)/(x*y)

the solution of x = x(0)*exp(y*s)
s is the parametrization

the equation that i am trying to solve:

xy* (du/dx) + (2*y^2 -x^6)*(du/dy) = 0 x>0 y => 0

can someone help me. i have to found the ground characteristics

5. Jan 7, 2010