Unformatted text preview: Second-Order Diﬀerential Equations- Solve homogeneous second-order linear diﬀerential equations with constant coeﬃ-cients.- Solve nonhomogeneous such equations using both methods (undetermined coeﬃcients and variation of parameters).- Solve simple harmonic motion problems. (Memorize the diﬀerential equation.) Be able to ﬁnd the spring constant.- Solve damped-vibrations problems. (Memorize the diﬀerential equation.) Know the three cases: overdamping, underdamping, and critical damping.- Solve a ﬁrst-order linear diﬀerential equation using power series. Be able to ﬁnd the recurrence relation and write the solution in terms of c only. Suggested review exercises: #1–14, 18 on p. 1138...
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This note was uploaded on 02/19/2012 for the course MATH 1 taught by Professor Wilkening during the Spring '08 term at Berkeley.
- Spring '08