所屬科目：研究所、轉學考(插大)◆工程數學
1. Find the particular solution of the following initial value problem. with and Find .
2. Solve the following ODE, showing the details of your work.
3. Write the following function in terms of unit step function, and find its Laplace transform.
4. If , determine the eigenvalues of , find an eigenbasis of , and conduct diagonalization of .
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with 
and 
.
, determine the eigenvalues of 
, find an eigenbasis of , and conduct diagonalization of 
.