Consider the ODE: y-y-y+y=0 i) Write the characteristic equation associated to this ODE and find the...

 

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Consider the ODE: y"-y-y+y=0 i) Write the characteristic equation associated to this ODE and find the solution(s) to that equation. ii) Analogous to the 2nd order situation, try to find 3 distinct non-zero solutions to the ODE and check that all three are solutions. iii) Guess what the general solution should be. Consider the ODE: y"-y-y+y=0 i) Write the characteristic equation associated to this ODE and find the solution(s) to that equation. ii) Analogous to the 2nd order situation, try to find 3 distinct non-zero solutions to the ODE and check that all three are solutions. iii) Guess what the general solution should be.