do i take the ln or do i use partial fractions i dont know how t start it plz help
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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 $\displaystyle \frac{dy}{\sqrt{1-y^2}} = \frac{dt}{t}. $
[quote=Danny;381710]Separate $\displaystyle \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?
[quote=bsanghera;381729] Originally Posted by Danny Separate $\displaystyle \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 $\displaystyle \sin ^{-1} y = \ln t + c = \ln t + \frac{\pi}{2}$ (from the IC). Taking sin's gives $\displaystyle y = \sin \left(\ln t + \frac{\pi}{2}\right) $.
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