MATH 240 Midterm: Kansas State MATH 240 m240fsoln s11

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= , y(0) = 1, y"(0) = 0. Name:___________________________________: solve the initial value problem dy dx. Name:___________________________________: solve the initial value problem y. 40cos(2 ) x: find all solutions to. Name:___________________________________: solve the initial value problem y x. = , y (0) = 1, y" (0) = 2. Name:___________________________________: solve the boundary value problem y+ 0 y = ( ) 1. y. = , a0 = 1, a1 = 2. Name:___________________________________: what is y(1) if y(x) is the solution to. = is the equation for the motion of a spring-mass. Graph a possible set of locations of the poles of the laplace transform of x for each of the following situations. (a) the spring is underdamped. (b) the spring is overdamped. (c) the spring is critically damped. Name:___________________________________: approximate y(. 3) using euler"s method with step size 0. 1 where. Name:___________________________________: suppose a population of fish is modeled by the equation.