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$The general solution of the differential equation y (x^{2} y + e^{x}) dx - e^{x} dy = 0 is$

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x3y-3ex=cy

x3y+3ex=3cy

y3x-3ey=cx

y3x+3ey=cx

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detailed solution

Correct option is B

x2dx+yexdx−exdyy2=0→∫x2dx+∫dex/y=∫0→x33+exy=c→x3y+3ex=3cy

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The general solution of the differential equation yx2y+exdx−exdy=0 is

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$The general solution of the differential equation y (x^{2} y + e^{x}) dx - e^{x} dy = 0 is$