Hi,

Can someone please help me by showing the step for how to do the following problem:

For what value k, is the 2xyy' + y^k = 0 an exaxt differential equation?

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- Mar 28th 2009, 11:47 PMzxcv1sr order differential equation
Hi,

Can someone please help me by showing the step for how to do the following problem:

For what value k, is the 2xyy' + y^k = 0 an exaxt differential equation? - Mar 29th 2009, 01:52 AMmr fantastic
You have $\displaystyle 2xy \, dy + y^k \, dx = 0$.

Read my reply here: http://www.mathhelpforum.com/math-he...ion-exact.html

You have $\displaystyle B = 2xy$ and $\displaystyle A = y^k$ and you require $\displaystyle \frac{\partial A}{\partial y} = \frac{\partial B}{\partial x}$.