Find a general solution to the following higher-order equations. (a) y'"-5y'' + 5y + 11y=0) (b) y + 5y + 4y' - 10y = 0 (c) y + 20y" + 64y = 0 *** (a) What are the roots of the auxiliary equation? The roots are -1,3+ i√√2,3-i√√2. (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) What is the general solution? y(t) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
Find a general solution to the following higher-order equations. (a) y'"-5y'' + 5y + 11y=0) (b) y + 5y + 4y' - 10y = 0 (c) y + 20y" + 64y = 0 *** (a) What are the roots of the auxiliary equation? The roots are -1,3+ i√√2,3-i√√2. (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) What is the general solution? y(t) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
Trigonometry (MindTap Course List)
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Problem 20T: A ball on a spring starts at its lowest point of 6 inches below equilibrium, bounces to its maximum...
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![Find a general solution to the following higher-order equations.
(a) y'"-5y'' + 5y + 11y=0)
(b) y + 5y + 4y' - 10y = 0
(c) y + 20y" + 64y = 0
***
(a) What are the roots of the auxiliary equation?
The roots are -1,3+ i√√2,3-i√√2.
(Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.)
What is the general solution?
y(t) =
(Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61baa47d-edfc-437a-9bca-cc77ad308873%2F91a2dd2e-71b4-46f2-8743-094add4b530e%2Fxm2uln_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find a general solution to the following higher-order equations.
(a) y'"-5y'' + 5y + 11y=0)
(b) y + 5y + 4y' - 10y = 0
(c) y + 20y" + 64y = 0
***
(a) What are the roots of the auxiliary equation?
The roots are -1,3+ i√√2,3-i√√2.
(Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.)
What is the general solution?
y(t) =
(Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
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