Solve the separable differential equation Subject to the initial condition: http://hosted.webwork.rochester.edu/...8846a201a1.png.

I just got to this subject and I don't know where to begin.(Thinking)

Printable View

- Oct 28th 2009, 05:17 AMsuperman69[SOLVED] Differential equation
Solve the separable differential equation Subject to the initial condition: http://hosted.webwork.rochester.edu/...8846a201a1.png.

I just got to this subject and I don't know where to begin.(Thinking) - Oct 28th 2009, 05:24 AMDefunkt
http://www.mathhelpforum.com/math-he...-tutorial.html

You can solve this via separation of variables. Look at the second paragraph in that topic, that should make it pretty clear how to solve this. - Oct 28th 2009, 05:26 AMchisigma
A good start may be writing the DE as...

$\displaystyle y\cdot dy= \frac{7}{4}\cdot \frac{x}{\sqrt{1+x^{2}}}\cdot dx$

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$ - Oct 28th 2009, 05:16 PMsuperman69
so i got

y=

http://hosted.webwork.rochester.edu/...9ae9fad9f1.png

But it was incorrect previously i had

http://hosted.webwork.rochester.edu/...9d23114121.png + C= http://hosted.webwork.rochester.edu/...c832f8b161.png y²