MATH 2552 Midterm: MATH 2552 GT ReviewMidterm2
Document Summary
1 chapter 3: systems of two rst order equations. Section 3. 1: find eigenvalues and eigenvectors of a given matrix. Section 3. 2: matrix notation for system of rst order linear di erential equations. Section 3. 3: on reducing x = ax + b to x = ax; superposition principle, wronskian and linear independence: theorem 3. 3. 1, theorem 3. 3. 3 and theorem 3. 3. 4; Determine whether (0, 0) is a nodal sink, a nodal source, a saddle, a spiral sink, a spiral source, or a center. Section 4. 2: existence and uniqueness of second order linear equations (theorem 4. 2. 1). Superposition principle (corollary 4. 2. 3), linear independence, wronskian and fundamental set of solutions (theorem. Section 4. 3: solve linear homogeneous equations with constant coe cients (remember theorem 4. 3. 2). Section 4. 5: solve nonhonogeneous equations using the method of underdetermined coe cients (re- member theorem 4. 5. 1). Find the laplace transform of a given function either using the de nition or the table.
