This preview shows page 1. Sign up to view the full content.
Unformatted text preview: } (0 pts) 3. The Laplace transform of a function is defined as ! f ( s ) = exp( ! st ) f ( t ) dt " # . What is the Laplace transform of f ( t ) = exp( ! at ) ? ! f ( s ) = 1 / ( s + a ) (0 pts). 4. Suppose that ! f ( s ) = 1 / ( s + 3) and ! g ( s ) = exp( ! s ) . What is the Laplace transform of C ( t ) = f ( t ! " t ) g ( " t ) d " t t # ? ! C ( s ) = exp( ! s ) / ( s + 3) (0 pts) 5. What is a solution to the ODE dy / dt = ! " y with y = 100 at t = ? y ( t ) = 100 exp( ! t ) (0 pts) 6. What are the determinant and eigenvalues of the matrix M = 2 1 2 ! " # $ % & ? det( M ) = 4 ! = 2 and 2 (degenerate)...
View Full Document
This note was uploaded on 03/30/2010 for the course SBE 580.429 taught by Professor Joelbader during the Fall '09 term at Johns Hopkins.
- Fall '09