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Mathematics 22 Online
OpenStudy (anonymous):

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

OpenStudy (accessdenied):

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?

OpenStudy (31356):

Great explanation! :D

OpenStudy (anonymous):

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

OpenStudy (accessdenied):

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

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