The solution of $$y5x+y$$−$$xdydx=0$$ is

Correct option is 2x55+14x4y4=C

Questions

The solution of $y^{5} x + y - x \frac{d y}{d x} = 0$ is

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x44+15.x5y5=C

x55+14x4y4=C

x5y5+15x4y4=C

none of these

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detailed solution

Correct option is B

y5xdx+ydx−xdy=0⇒y3xdx+ydx−xdyy2=0y3xdx+dxy=0⇒xdx+1y3dxy=0⇒x4dx+xy3dxy=0 Integrate we get x55+(xy)44=C

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The solution of y5x+y−xdydx=0 is

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The solution of $y^{5} x + y - x \frac{d y}{d x} = 0$ is