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Mathematics 11 Online
xXMarcelieXx:

solve the diff eq

xXMarcelieXx:

\[y'=sinx(ysec x - 2)\]

xXMarcelieXx:

@Zepdrix

xXMarcelieXx:

i got stuck .. not sure if im doing it good

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Zepdrix:

Mmmm ya looks good so far.

xXMarcelieXx:

oh got it ;p

Zepdrix:

\[\large\rm (\cos x)y=-2\int\limits \sin x \cos x~dx\]

Zepdrix:

Figure out the rest? :d

xXMarcelieXx:

would that be a trig identity?

xXMarcelieXx:

i got \[y= \frac{ 1 }{ cosx }(\frac{ 1 }{ 2 }\cos2x +c)\]

Zepdrix:

Yes, looks good. Maybe call the 1/cosx uhh secx and distribute: \[\large\rm y=\frac12\cos2x~\sec x+C \sec x\]But that's not super important. Yay good job.

xXMarcelieXx:

yayy

xXMarcelieXx:

zeppers check my work

1 attachment
xXMarcelieXx:

@Zepdrix

Zepdrix:

Yay good job

xXMarcelieXx:

yayy

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