`(x+3y^(2))(dy)/(dx)=y,(ygt0)`

1.	`(x+3y^(2))(dy)/(dx)=y,(ygt0)`
Answer» `(x+3y^(2))(dy)/(dx)=yimpliesy(dx)/(dy)=x+3y^(2)` `implies (dx)/(dy)-(1)/(y)x=3y` यहाँ, `P=-(1)/(y),Q=3y` `I.F.=e^(int-(1)/(y)dy)=e^(-logy)` `=e^(log(y^(-1)))=y^(-1)=(1)/(y)` और व्यापक हल : `x((1)/(y))=int3y((1)/(y))dy+c` `=int3 dy+c=3y+c` `implies x=3y^(2)+cy`

Discussion