Show that any separable equation M(x,y)+N(x,y)y'=0

Tahmid Knox 2021-10-23 Answered
Show that any separable equation M(x,y)+N(x,y)y=0
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mhalmantus
Answered 2021-10-24 Author has 106 answers
Differential equation with form M(x,y)+N(x,y)y=0 is exact if:
My(x,y)=Nx(x,y)
In this case M is a function of x onle and therefore
My=0
Also in this case N is a function of y only and therefore
Nx=0
We see that My=Nx=0 so given equation is exact
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