For Problems 41-44, use the Laplace transform to solve the given system of differential equations subject to the given initial conditions. d x 1 d t = − 2 x 2 d x 2 d t = 2 x 1 + 4 x 2 x 1 ( 0 ) = 1 x 2 ( 0 ) = 1
For Problems 41-44, use the Laplace transform to solve the given system of differential equations subject to the given initial conditions. d x 1 d t = − 2 x 2 d x 2 d t = 2 x 1 + 4 x 2 x 1 ( 0 ) = 1 x 2 ( 0 ) = 1
Solution Summary: The author explains how to solve the given system of differential equations subject to the initial conditions. The Laplace transform satisfies the linearity properties for all transformable functions.
For Problems 41-44, use the Laplace transform to solve the given system of differential equations subject to the given initial conditions.
d
x
1
d
t
=
−
2
x
2
d
x
2
d
t
=
2
x
1
+
4
x
2
x
1
(
0
)
=
1
x
2
(
0
)
=
1
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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