For Problems 7–21, verify that the given function is a solution to the given differential equation ( c 1 and c 2 are arbitrary constants), and state the maximum interval over which the solution is valid. y ( x ) = e − x sin 2 x , y ″ + 2 y ′ + 5 y = 0 .
For Problems 7–21, verify that the given function is a solution to the given differential equation ( c 1 and c 2 are arbitrary constants), and state the maximum interval over which the solution is valid. y ( x ) = e − x sin 2 x , y ″ + 2 y ′ + 5 y = 0 .
Solution Summary: The author explains how to find the maximum interval over which the solution is valid and whether y(x)=e-x
For Problems 7–21, verify that the given function is a solution to the given differential equation (
c
1
and
c
2
are arbitrary constants), and state the maximum interval over which the solution is valid.
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