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###please show step by step (every single steps)### State whether the following

ID: 2831504 • Letter: #

Question

###please show step by step (every single steps)###

State whether the following are true or false. Briefly justify your answer. For the linear homogeneous second-order ODE with constant coefficients given by the corresponding characteristic equation is given by If the characteristic equation (2) has a single real solution A then (5) each solution (t) to equation (1) has at least one zero, i.e. there is a value to so that (to) = 0. (5) the fundamental set of solutions for equation (1) consists of a single function (t).

Explanation / Answer

a)true

for any differential equation

ex 4y"+5y'+6y=0

CHARACTERISTIC EQUATION IS 4m^2+5m+6


b) i)ytrue

ii)false