Show that y = e^-x is a solution of the linear equation dy/dx+y=0, and y=x^-1 is a solution of the nonlinear equation dy/dx+y^2=0

Question

accessdenied · Answer

If y solves the differential equation, then we should get a unanimously true statement such as 0 = 0 from substituting that value of y into the equation.
Have you tried to substitute the function and its derivative into the equation?

31356 · Answer

Great explanation! :D

anonymous · Answer

I did that for the linear one. I'll try the same for the nonlinear one. thanks

accessdenied · Answer

No problem!  As long as you take your derivatives properly, they should work out!  :)