differential equation query

fran1942

Hello, regarding the differential equation: "dy/dx = -x/y"
The general solution is y^2+x^2 = c.

I am wondering why it is expressed this way instead of "y=-x^2+c" ?
I thought you had to seperate the x and y to opposite sides of the equation ?

Thanks for any help.

fran1942	differential equation query Tweet Hello, regarding the differential equation: "dy/dx = -x/y" The general solution is y^2+x^2 = c. I am wondering why it is expressed this way instead of "y=-x^2+c" ? I thought you had to seperate the x and y to opposite sides of the equation ? Thanks for any help.