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Mathematics 8 Online
OpenStudy (dls):

DE

OpenStudy (dls):

\[xcosy+ycosx=\tan^{-1}x^{2}\]

OpenStudy (dls):

this is how i did it

OpenStudy (dls):

\[\frac{d(xcosy)}{dx} + \frac{d(ycosx)}{dx} = d(\tan^{-1} x^{2})\]

OpenStudy (dls):

\[cosy-xsin \frac{dy}{dx} + \dfrac{(ycosx)}{dx} - ysinx=\frac{1}{1+x^{4}}\]

OpenStudy (dls):

\[\frac{dy}{dx}(cosx-xsiny)=\frac{1}{1+x^{4}}-cosy+ysinx\]

OpenStudy (dls):

\[\frac{dy}{dx}=\frac{1}{1+x^{4}(cosy-xsiny}) - \frac{cosy+ysinx}{cosx-xsiny}\]

OpenStudy (dls):

2nd equation is wrong sorry

hartnn (hartnn):

\(\large \frac{dy}{dx}=\frac{1}{(1+x^{4})(cosy-xsiny)}- \frac{cosy-ysinx}{cosx-xsiny}\)

OpenStudy (dls):

\[cosy-xsiny \frac{dy}{dx} +cosx \frac{dy}{dx}-ysinx=\frac{1}{1+x^{4}}\]

OpenStudy (dls):

oh so mine is correct? :O

hartnn (hartnn):

what u wrote now is correct.

OpenStudy (dls):

finalans is correct right

hartnn (hartnn):

u get this \(\large \frac{dy}{dx}=\frac{1}{(1+x^{4})(cosy-xsiny)}- \frac{cosy-ysinx}{cosx-xsiny}\)

hartnn (hartnn):

cos y - y sin x

OpenStudy (dls):

i got that only

hartnn (hartnn):

u got cos y+ y sin x

OpenStudy (dls):

ah minor mistakes :p

OpenStudy (dls):

if u open ur bracket u wud still get -cosy+ysinx i guess

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