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 Depdendent Variable

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 Dependent Variable

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# Fundamentals of Differential Equations

Section 4.3 (p. 186)- Auxiliary Equations with Complex Roots

5. Find a general solution to the DE The general solution is 17. Find a general solution to the equation The general solution is 23. Solve the initial value problem The general solution is .  Since The specific solution is 29 Find a general solution to the DE  is a solution.
Using synthetic division we get The general solution is  The possible integer solutions are
± 1, 2, 13, and 26 .

Try graph and you will

see that is a zero of the function The general solution is  The general solution is 