Show that y=x-x^-1, is a solution of the differential equation xy’+y=2x
you have to differentiate both sides of the equation using implicit differentiation. then solve for y’
Take y=x-x^(-1), and find the y’ of it. Then in xy’+y =2x, substitute for the y and y’, and simplify the left side of the equation. It should simplify to 2x.