Find the function f ( t ) of the form f ( t ) = a cos ( 2 t ) + b sin ( 2 t ) such that f ″ ( t ) + 2 f ′ ( t ) + 3 f ( t ) = 17 cos ( 2 t ) .(This is the kind of differential equation youmight haveto solve when dealing with forced dampedoscillators,in physics or engineering.)
Find the function f ( t ) of the form f ( t ) = a cos ( 2 t ) + b sin ( 2 t ) such that f ″ ( t ) + 2 f ′ ( t ) + 3 f ( t ) = 17 cos ( 2 t ) .(This is the kind of differential equation youmight haveto solve when dealing with forced dampedoscillators,in physics or engineering.)
Solution Summary: The author explains the solution of the function of differential equation: -mathrmcos(2t)+4
Find the function
f
(
t
)
of the form
f
(
t
)
=
a
cos
(
2
t
)
+
b
sin
(
2
t
)
such that
f
″
(
t
)
+
2
f
′
(
t
)
+
3
f
(
t
)
=
17
cos
(
2
t
)
.(This is the kind of differential equation youmight haveto solve when dealing with forced dampedoscillators,in physics or engineering.)
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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