DiffEQ question!! I'm doing Reduction of Order problems, and my book says that we use this method when b^2-4ac = 0. However there is an example that contains the variable t in it, so I am confused as to what exactly the characteristic equation would be.

Question

DiffEQ question!!  I'm doing Reduction of Order problems, and my book says that we use this method when b^2-4ac = 0.  However there is an example that contains the variable t in it, so I am confused as to what exactly the characteristic equation would be.

anonymous · Answer

This is the example: Find a fundamental set of solutions$$2t ^{2}y \prime \prime +3ty \prime - y = 0; \space \space t > 0$$

anonymous · Answer

by using that your answer is diff from zero

abb0t · Answer

@dan815

anonymous · Answer

Were you given a first solution y1?