Page 267 - Schaum's Outline of Differential Equations
P. 267
250 SOLUTIONS OF LINEAR SYSTEMS BY LAPLACE TRANSFORMS [CHAP. 25
The solution to this last set of simultaneous linear equations is
Taking inverse transforms, we obtain
25.2. Solve the system
c
c
Denote £{y(x)} and £{i(x)} by Y(s) and Z(s), respectively. Then, taking Laplace transforms of both differential
equations, we obtain
The solution to this last set of simultaneous linear equations is
Finally, using the method of partial fractions and taking inverse transforms, we obtain
25.3. Solve the system
Denote !£{w(x)}, !£{y(x)}, and !£{z(x)} by W(s), Y(s), and Z(s), respectively. Then, taking Laplace transforms
