Page 268 - Schaum's Outline of Differential Equations
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CHAP. 25] SOLUTIONS OF LINEAR SYSTEMS BY LAPLACE TRANSFORMS 251
of all three differential equations, we have
The solution to this last system of simultaneous linear equations is
Using the method of partial fractions and then taking inverse transforms, we obtain
25.4. Solve the system
Taking Laplace transforms of both differential equations, we obtain
Solving this last system for Y(s) and Z(s), we find that
Thus, taking inverse transforms, we conclude that
25.5. Solve the system
Taking Laplace transforms of both differential equations, we obtain
