Portland State University math
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Get it written →Problem 1: MTH 256 Written Homework 4 𝑚𝑦 !! (𝑡) + 𝑦 ! (𝑡) + 𝑦(𝑡) = 0 a. Find the solutions of the characteristic equation as parameters depending on 𝑚. ” b. Find the general solution when 0 < 𝑚 < # ” c. Find the general solution when 𝑚 = # ” d. Find the general solution when 𝑚 > # Problem 2: a) Attempt to find a particular solution to 𝑦 !! + 𝑦 ! = 1 + 2𝑥 + 𝑥 $ $ of the form 𝑦% = 𝐴& + 𝐴” 𝑥 + 𝐴$ 𝑥 . Then explain what goes wrong. b) Attempt to find a particular solution to 𝑦 !! + 𝑦 ! = 1 + 2𝑥 + 𝑥 $ of the form 𝑦% = 𝐴& 𝑥 + 𝐴” 𝑥 $ + 𝐴$ 𝑥 ‘ . Does this work? Problem 3: Exercise 5.3.23 Problem 4: Exercise 5.3.39
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