Question

Please help me verify that the indicated function is a solution of the given differential equation.

x^2 dy+2xy dx=0

y=-1/(x^2)

Answer 1

Well, first we want to find the value of the derivative of y. So you would take the derivative of -1/(x^2). Now, know that derivative of y is dy/dx, but we have dy and dx separate. So what youll need to do is rearrange your equation in which you can get dy/dx and not separate. Once you're able to do so, substitute your y = and your derivative of y = and show that it is a solution.

Answer 2

oh ok ill try that

Answer 3

Yeah, then let us know.

Answer 4

ok i was working on another problem and came back to this one and i got it...
it ended up like this for me...