Let $\displaystyle M(x,y)dx+N(x,y)dy=0$ - be ahomogeneous differential equation.

Prove that by the sustitution of:

$\displaystyle x=rcos\theta

y=rsin\theta

$

it can be solved bySeparation of Variables method.

Thanks a lot.

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- Apr 12th 2010, 06:30 AMsinichkohomogeneous differential equation->separation of variables
Let $\displaystyle M(x,y)dx+N(x,y)dy=0$ - be a

**homogeneous differential equation.**

Prove that by the sustitution of:

$\displaystyle x=rcos\theta

y=rsin\theta

$

it can be solved by**Separation of Variables method.**

Thanks a lot. - Apr 12th 2010, 09:19 AMdwsmith