`y dx + (x-y^(2))dy=0`

1.	`y dx + (x-y^(2))dy=0`
Answer» `y dx+(x-y^(2))dy=0implies(dx)/(dy)+(1)/(y)x=y` यहाँ, `P=(1)/(y), Q = y` `therefore I.F. =e^(int(1)/(y)dy)=e^(logy)=y` और व्यापक हल : `x(y)=inty(y)dy+cimpliesxy=(y^(3))/(3)+c` `implies3xy=y^(3)+3c` `implies 3xy=y^(3)+c_(1)` जहाँ `c_(1)+3c`

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