second order differential eqn help!

dirtypyjamas

New member
Joined
May 16, 2013
Messages
5
Determine if the function y = sin (lnx) is a solution of the differential equation x^2y''+xy'+y=0


how?? :eek:
 
Determine if the function y = sin (lnx) is a solution of the differential equation x^2y''+xy'+y=0

how?? :eek:
Differentiate once. Plug this into the equation in place of "y'". Differentiate again. Plug this into the equation in place of "y"". Simplify the left-hand side of the equation. Make sure you get "0". ;)
 
Differentiate once. Plug this into the equation in place of "y'". Differentiate again. Plug this into the equation in place of "y"". Simplify the left-hand side of the equation. Make sure you get "0". ;)
you da bestest <3
 
Top