The D.E. is...

Taking into account that is...

... we can separate variables and integrate, so that we obtain...

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- Jun 29th 2009, 11:23 PM #1

- Joined
- Jun 2009
- Posts
- 8

## help plz!

I been working on this forever. I am stuck at the integration part.

the problem is:

cosysint dy/dt = sinycost

the answer is

y=arcsin(C sint)

Here is my attempt :

cosy/siny dy = cost/sint dt

arctany dy = arctant dt

then i integrate both side and get

yarctany-1/2ln(1+y^2)=tarctant-1/2ln(1+t^2)

some there i am stuck.. i dunno how to get the answer y=arcsin(c sint)

- Jun 29th 2009, 11:38 PM #2

- Jun 30th 2009, 04:49 PM #3