Taylor Series and Euler model

I am stuggling in my math mathmatical model class because the professor decided not to use a book!

Can someone please help me with any of these problems?

Find a linearized Taylor seriers expansion for F(x,y)=y/x about (2,1). Can the Euler's method be applied?

or

use the Volterra method to find y given x=2 and 4x^3e^-2x=y^2e^-y

or

given the model F(x,y)=2x-6xy, g(x,y)=3y-4xy determine hat is an estimate of the orbit for this system using a first order Taylor series formula. Find the exact orbit for the model.