Question

solve y"-4y'+4y=0 y1=e^(2x) using reduction of order method

Answer 1

Are you still here?.

Answer 2

To solve this, we should make the assumption.
We know one of our functions is y1 = e^(2x). Perhaps we can find another solution by substituting our known function with an unknown function as a factor: y2 = v(x) * e^(2x).

If you substitute this back into your equation, your new equation should be a new differential equation in v. It will also be open to a substitution to reduce its order because there should be no v terms alone.

Apologies for the site interruption of services, it seems to have resolved but all too late to respond to any questions.