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[" olo "t" : "],[" 1."(dy)/(dx)+y=e^(x)]...

[" olo "t" : "],[" 1."(dy)/(dx)+y=e^(x)]

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(dy)/(dx)=e^(x-y)+1

(dy)/(dx)+1=e^(x-y)

(x-y)(1-(dy)/(dx))=e^(x)

Solve (dy)/(dx)+1=e^(x+y)

If e^(x)+e^(y)=e^(x+y) , prove that : (dy)/(dx)=-(e^(x)(e^(y)-1))/(e^(y)(e^(x)-1)) .

Solve: dy/dx+1=e^(x+y)

The solution of (dy)/(dx)+1 = e^(x+y) is