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

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

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