Periodic Coefficients. Prove that the equation \[ \ddot {u}+(\sin ^2 t)\dot {u}+(1+\sin 2t)u=0 \] does not have a fundamental set of periodic solutions.
Question
Math 6410 • ODE
Fall 2003 • Question 5
Question
Fall 2003 • Question 5
Periodic Coefficients. Prove that the equation \[ \ddot {u}+(\sin ^2 t)\dot {u}+(1+\sin 2t)u=0 \] does not have a fundamental set of periodic solutions.