हल कीजिए-
`(dy)/(dx)=e^(x-y)+x^(2)e^(-y).`

Explanation

यहाँ `(dy)/(dx) =e ^(x-y)+x^(2)e^(-y)`
`implies(dy)/(dx) =e^(-y) (e^(x) +x^(2))`
`implies(dy)/(dx) =(d^(x)+x^(2))/(e^(y))`
`implies e^(y) dy= (e^(x) +x^(2))dx`
समाकलन करने पर,
`int e^(y)dy=int(e^(x)+x^(2))dx`
`impliese^(y)=e^(x) +(x^(3))/(3)+c.`