MAP 2302 Midterm: MAP 2302 FIU Exam f15k
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Prof. s. hudson: find an integrating factor for the de dy exact equation and con rm that the resulting de is exact. Find a particular solution yp(x) using one of the methods from ch. 4: begin the method of frobenius on the de, x2y xy + (x2 + 8 have found r1 and r2. Note: this is from ch. 6. 2 and is not a bessel equation. Hint: one of the partial fractions is s 3 s2+1 . 5s2 s 2 (s + 2)(s2 + 1: compute the convolution of sin(3t) with itself. The indicial equation of x2y + xy + (x2 4)y = 0 is r2 4 = 0. x2y + 5y xy = 0 has a regular singular point at x = 0. A free underdamped motion can pass through the equilibrium position multiple times. A free underdamped motion can be a strictly decreasing function of t on [0, + ).
