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Mathematics 15 Online
OpenStudy (anonymous):

2/x dy/dx=1/y^2-3

OpenStudy (anonymous):

Is it \[ \frac{2}{x} \frac{dy}{dx} = \frac{1}{y^2 - 3} \]?

OpenStudy (anonymous):

i first dx both sides??

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Yeah, multiply both sides by xdx, then by (y^2 - 3). Integrate afterwards.

sam (.sam.):

\[\frac{2}{x}\frac{dy}{dx}=\frac{1}{y^2-3}\] \[\frac{2}{x}\frac{1}{dx}=\frac{1}{y^2-3}\frac{1}{dy}\] \[\int\limits_{}^{}\frac{x}{2}dx=\int\limits_{}^{} y^2-3dy\]

OpenStudy (anonymous):

@.Sam why do u ave 1/dy??

sam (.sam.):

divide both sides by dy

OpenStudy (anonymous):

ohhhh kk

OpenStudy (anonymous):

after integration I get 2=y^3/3???

sam (.sam.):

\[\int\limits_{}^{}\frac{x}{2}dx=\int\limits_{}^{} y^2-3dy\] \[\frac{x^2}{4}=\frac{y^3}{3}-3y\]

sam (.sam.):

Just integrate both sides separately

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

thxxx:)

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