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 1 + 4 x 2 + 16 sin 2 t d x 2 d t = − 2 x 1 − 2 x 2 + 16 cos 2 t x 1 ( 0 ) = 0 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 1 + 4 x 2 + 16 sin 2 t d x 2 d t = − 2 x 1 − 2 x 2 + 16 cos 2 t x 1 ( 0 ) = 0 x 2 ( 0 ) = 1
Solution Summary: The author explains how to solve a given system of differential equations, using the convolution theorem, properties of the Laplace transform, and the table (1).
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