1. Find all real solutions: (dx/dt)-2x=cos(3t)
Homework Equations
3. I really don't know where to start here. Any advice to get me on my feet would be appreciated.
1. Find out which of the transformations are linear. For those that are linear, determine whether they are isomorphisms. T(f(t)) = f'(t) + t^2 from P2 to P2
2. To be linear, T(f(t)+g(t))=T(f(t)) + T(g(t)), kT(f(t))=T(f(kt))
3. After testing for linearity, I am thinking that the...