ME 4183 Study Guide - Midterm Guide: Nissan L Engine, Microwave Oven, Partial Fraction Decomposition
Document Summary
Me 4183 theory and design of mechanical control systems. Consider system modeled by the following di erential equation where (0) = 0 and (0) = 3. + 3 2 = 0: linearize the nonlinearity about 0 = 0 and write the resulting linear di erential equation. (15 pts. , solve the linear di erential equation for ( ) using the laplace transform. (15 pts. ) ( ) = ( 0) + = 0 ( 0) = 1 0=0 = 1 where = 0 = . Given that ( ) = , the resulting linear di erential equation is then (1) + 3 + 2 = 2 : to solve (1), we take the laplace transform of both sides of the equation: 2 ( ) (0) (0) + 3 [ ( ) (0)] + 2 ( ) = 2 + 3 + 2 ( ) = 3 + 2 ( + 1) ( + 2) =0.
