1. seperation of variables help

do i take the ln or do i use partial fractions i dont know how t start it plz help

2. Originally Posted by bsanghera

do i take the ln or do i use partial fractions i dont know how t start it plz help
Separate

$
\frac{dy}{\sqrt{1-y^2}} = \frac{dt}{t}.
$

3. [quote=Danny;381710]Separate

$
\frac{dy}{\sqrt{1-y^2}} = \frac{dt}{t}.
$
[/quote

lol yess i kniw that much but i was asking what to do aftr that do i take the natural log?

4. [quote=bsanghera;381729]
Originally Posted by Danny
Separate

$
\frac{dy}{\sqrt{1-y^2}} = \frac{dt}{t}.
$
[/quote

lol yess i kniw that much but i was asking what to do aftr that do i take the natural log?
So $\sin ^{-1} y = \ln t + c = \ln t + \frac{\pi}{2}$ (from the IC).

Taking sin's gives

$
y = \sin \left(\ln t + \frac{\pi}{2}\right)
$
.