D3u dt3 + d2u dt2 − 2u = 0

Find the general solution of the given higher-orde

Answer

Solve 16 due + 40 dy(O + 25 y(x) = 0 Assume a solution will be proportional to e* for some constant A Substitute y(x)-c* int dx dx Assume a solution will be proportional to e1x for some constant λ Substitute y(x)-c* into the differential equation Sub Consi der the following differential equati on du du dt dt Rewrite the above equation as follows: First write auxillary equat

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