The solution of the differential equation $$xdydx+y=x3y6$$ is

Correct option is 1y−5x−5=52x−2+c

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The solution of the differential equation $x \frac{d y}{d x} + y = x^{3} y^{6}$ is

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y−5x−5=52x−2+c

y5x5=52x−2+c

y−5x−5=52x2+c

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detailed solution

Correct option is A

Given differential equation is xdydx+y=x3y6⇒xdy+ydx=x3y6dx⇒xdy+ydx=x6y6x3dx⇒dxyxy6=dxx3integrate on both sides ⇒−15(xy)−5=−x−22+C1⇒y−5x−5=52x−2−5C1⇒y−5x−5=52x−2+c

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The solution of the differential equation xdydx+y=x3y6 is

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The solution of the differential equation $x \frac{d y}{d x} + y = x^{3} y^{6}$ is