MAP 2302 Midterm: MAP 2302 FIU Exam f16k
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The questions are approx 10 points each unless labeled otherwise: transform (3x + 2y + 3)dx + (6x + 4y 1)dy = 0 into a separable de. Write out the new de in standard form, but do not solve it: find the roots r1 and r2 of the indicial equation for the de x2y + xy + (x2 4)y = 0 and stop. As usual, imagine we are looking for a series solution on an interval 0 < x < r, and notice that x = 0 is a regular singular point. You do not have solve either de: [8 pts] find l(f ) using the ua method, where f (t) = . 0 if 0 < t < 2 if 2 < t < 4 if 4 < t < 6 if t > 6: compute the inverse laplace transform of this function. Hint: one of the partial fractions is s 2 s2+4 .
