Question

Y = x - x^(-1) is a solution to which of the following differential equations?

xy' + y = 2x
xy' - y = 2x
xy' + x = 2y
xy' - x = 2y

Answer 1

plug in for y and differentiate and see which holds

Answer 2

would it be the first one?

Answer 3

I don't know, why don't you show your work?

Answer 4

the derivative of y is 1/x^2 +1
so xy' = (x^2+1)/x
and (x^2+1)/x + x-(x^-1) = 2x

Answer 5

yep, looks good

Answer 6

thanks!

Answer 7

welcome!