amberm1209 amberm1209

03-08-2017
Mathematics

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Find a general solution to the differential equation 2y''-5y'-3y=0

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Аноним Аноним

11-08-2017

We want a general solution for the ODE
2y'' - 5y' - 3y = 0

The characteristic equation is
2m² - 5m - 3 = 0
(2m + 1)(m - 3) = 0
which yields
m = -1/2, 3

Answer:
The general solution is
[tex]y(x)=c_{1}e^{-x/2}+c_{2} e^{3x}[/tex]
where c₁ and c₂ are constants.

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