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Math · Calculus
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1. 2nd order ODEs (25 points) a For the following ODEs, find their eigenvalues and determine the type of damping (overdamped, undamped, underdamped, critically damped). For undamped and under- damped cases, find their angular frequency and period. (13 points) ii) y +2y +26y -0 iii) 4y +20y +25 y-0 b) Find the general solution for ODE iii). (5 points) c) Find the particular solution for ODE iii if y 0)- A and y (0)- B. (7 points)
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