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(dy)/(dx)+xy=0...

`(dy)/(dx)+xy=0`

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Show that y^(2)-x^(2)xy=a is a solution of the differential equation (x-2y)(dy)/(dx)+2xy=0

If y=x+(1)/(x), show that x^(2)(dy)/(dx)-xy+2=0

if y=x+(1)/(x) prove that x^(2)(dy)/(dx)-xy+2=0

If y=x+(1)/(x), show that x^(2)(dy)/(dx)-xy+2=0

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

Find the general solution of the differential equation sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx) =0.

(dy)/(dx)=x+xy

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

Solve (dy)/(dx)=xy