MATH 215 Study Guide - Midterm Guide: Inverse Function
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Note that the maximum number of points is 110. A score of n/110 will be treated as n/100. Also note that this exam has three pages. (15) 1. Find the inverse function f(t) of the laplace transform for (a) sf s. Solve the following initial value problem for t > 0 and sketch its solution: y cos. )(t is the dirac delta function. ] t y y y. Find the general solution of each of the following differential equations: (a) y. 0 (25) 6. (a) solve the initial value problem x. )0( x with (b) sketch the trajectory of the solution of (a) in the xy-phase plane for. , indicating by arrows the direction of increasing t. (c) solve the initial value problem dx dt dy dt with x. Consider the system dx dt dy x yy. Find all values of and for which lim t tx and.
