One solution to ty"-(t+2)y'+2y=0 is exp(t)
Find a second linearly independent solution.
Here is the solution in two file formats as usual.
I'm sorry it took me a while, but I wanted to show you two different methods how to approach this kind of problem (who know's in a test it might come handy).
First Method: Wronskian
Write the equation as:
The two solutions must satisfy:
Multiplying equation (2) by y1 and subtracting equation (1) multiplied by y2 we obtain:
Using the Wronskian's definition:
We see that:
The solution is 6 pages long and demonstrates two possible methods to solve the problem.