Use the substiution y=xu to find the general solution of the differential equation: (x+y)dy/dx=y dy/dx = u+x(du/dx) (x+xu)(u+x(du/dx)=xu where do i go from here? thanks
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To guide you, why are you making that substitution? (review your class notes on homogeneous equations)
I only have one example. and its my first week of Differential Equations. I just want to make sure i understand it before my next lesson which is tomorrow. Do i expand the brackets?
Originally Posted by wonderboy1953 To guide you, why are you making that substitution? (review your class notes on homogeneous equations) I would bet he/she is making the substitution because Originally Posted by BabyMilo Use the substiution y=xu to find the general solution of the differential equation: BabyMilo, Distribute and group us with du and xs with dx. Then integrate and back sub.
not sure what Distribute and group us with du and xs with dx. means. should i come to u^2+(x+xu)(du/dx)=0 ?
I am sorry I made a clerical error. Sorry about the mistake earlier. Do you understand now?
Last edited by dwsmith; January 20th 2011 at 12:33 PM. Reason: Fixed error
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