The solution of $$y3cos$$⁡xdx−$$xe1/y2dy=0$$ is

Correct option is 2e1/y2+4sinx=c

Questions

$The solution of y^{3} \cos \sqrt{x} dx - \sqrt{x} e^{1 / y^{2}} dy = 0 is$

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e1/y2+2sin⁡x=c

e1/y2+4sinx=c

e1/y2-2sinx=c

e1/y2-4sinx=c

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detailed solution

Correct option is B

∫cos⁡xxdx=−12∫e1/y2−2/y3dy⇒2sin⁡x=−12e1/y2+c⇒e1/y2+4sin⁡x=c

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The solution of y3cos⁡xdx−xe1/y2dy=0 is

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$The solution of y^{3} \cos \sqrt{x} dx - \sqrt{x} e^{1 / y^{2}} dy = 0 is$