MATH 240 Midterm: Kansas State MATH 240 m240x2 s11soln
7 Mar 2019
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= , y(0) = 3, y (0) = 9. A cos(9 x : rewrite 5cos(9 ) 12sin(9 ) x x. Name:___________________________________: using euler"s method with step size h = 0. 1, approximate y(0. 2) if. Name:___________________________________: match the following differential equations with the graphs of one of their x x solutions. (a) "" 3 " 25 (c) (d) x x x x. 0, x x (0) 10, (0) 10, x (0) 10, x x (0) 10, x. Name:___________________________________: a spring-mass system has mass m, spring constant k, and hence natural frequency. Show that the smallest half-life you can get without the spring becoming overdamped is ln(2) Name:___________________________________: suppose l is a second-order linear differential equation, not necessarily monic or with constant coefficients, such that. Find the general solution to ly = 48exp(2x). Hint: while it is possible to solve this problem by deducing what l is, there is a quicker way to the answer where you don"t have to find l explicitly.
