liubitsaghn2145
29.02.2020 •
Mathematics
Consider the following higher-order differential equation. d3u dt3 + d2u dt2 − 2u = 0 Find all the roots of the auxiliary equation. (Enter your answers as a comma-separated list.)
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Ответ:
Therefore the auxiliary solution is
Step-by-step explanation:
To find auxiliary equation we have to put in the given differential equation.
The degree of the differential equation is 3.
Therefore the number of root of the differential equation is 3.
Let , and be three roots of the auxiliary equation.
If three roots are real and equal.Then
If three roots are real and distinct.Then
If two roots imaginary and one root real ,Then
Now, ,
Given differential equation is
The auxiliary equation is
Here
Therefore ,
Ответ:
Step-by-step explanation:
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thanks for free point