sqrt(a+x)(dy)/(dx)+xy=0

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x((dy)/(dx))^(2)+2sqrt(xy)(dy)/(dx)+y=0

sqrt(a+x)(dy)/(dx)+x=0

Solution of the differential equation x((dy)/(dx))^(2)+2sqrt(xy)(dy)/(dx)+y=0 ,is

Solution of the differential equation x((dy)/(dx))^(2)+2sqrt(xy)(dy)/(dx)+y=0 is

(dy)/(dx)=x+xy

Solve sqrt(a+x)dy/dx+x=0

((dy)/(dx))^(2)-(x+y)(dy)/(dx)+xy=0

If y sqrt(x^(2)+1)= log (sqrt(x^(2)+1)-x) , prove that (x^(2)+1)(dy)/(dx) +xy+1=0 .

The solution of ((dy)/(dx))^(2) + (2x + y) (dy)/(dx) + 2xy = 0 , is