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06-03-2018
Mathematics

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Find the general solution of the given second-order differential equation. y'' − y' − 30y = 0 webassign

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evgeniylevi evgeniylevi

07-03-2018

y''-y'-30y=0;
1) the characteristic equation is:
a²-a-30=0, where a²⇒y'', a⇒y' and 1⇒y.
[tex] \left[\begin{array}{ccc}a=6 \\a=-5\end{array}[/tex]
2) y=C₁*e⁶ˣ+C₂*e⁻⁵ˣ

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