*Linear differential equations

\fLinear Differential Equations DIRECTIONS: Read and understand each statementfitern carefully. Avoid unnecessary erasures. If you want to change your answer. enclose it in parentheses. and write your final answer on the space provided before each number. Use black or blue en only. Pencils are not allowed. Calculators may be used. but cell phones are not allowed. 1' Given {D3 - 203 + :00) = 2 max. solve tor what is asked. 1. What is the corresponding homogeneous equation? (. ' I) 2. What' Is the characteristic polynomial?_. __ 3. Solve for the roots of the characteristic polynomial and indicate the multiplicity. Solution. 4. What is the general solution to the corresponding homogeneous equation? 5. What is the annihilator MD) for 2 cos x? ( ) 6. Solve for particular solution up to (03 - 2133 + 500') = 2 cosx. 7. What is the general solution to (1)3 202 + 0310') = 2 cos x712 points)