Thread: Differential Equations

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

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?