The solution of $$dydx=x$$−$$2y+32x$$−$$y+5$$ is

Correct option is 1x2-4xy+y2+6x-10y=c

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$The solution of \frac{d y}{d x} = \frac{x - 2 y + 3}{2 x - y + 5} is$

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x2-4xy+y2+6x-10y=c

x2-4xy+y2+6x+10y=c

x2+4xy+y2+6x-10y=c

x2-4xy-y2-6x-10y=c

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detailed solution

Correct option is A

2xdy−ydy+5dy=xdx−2ydx+3dx→2(xdy+ydx)−ydy+5dy=xdx+3dx→∫2d(xy)−ydy+5dy=∫xdx+3dx→2xy−y22+5y=x22+3x→4xy−y2+10y=x2+6x+c→x2−4xy+y2+6x−10y=c

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The solution of dydx=x−2y+32x−y+5 is

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$The solution of \frac{d y}{d x} = \frac{x - 2 y + 3}{2 x - y + 5} is$