1. Fill in the following table with the missing classification info...

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1. Fill in the following table with the missing classification information: ODE order linear/nonlinear - dR = 2014R dt 2. (a) Verify that y = Cer-z is a one-parameter general solution to the differential equation y' ( 220 - 1)y=0 (b) Use part (a) to find a solution to the initial value problem (IVP) consisting of the differential equation y' + (2x - 1)y = 0 and the initial condidtion y(1) = 6. 3. Find a solution to the following initial-value problem: dy y2 + 5y + 6 da = 1 - , = y (0) = 2. 4. (a) Find an explicit solution of: + y = dx Be sure to clearly label steps to maximize your score. Explicit Solution: (b) Give the largest interval over which the general solution is defined. (c) Are there any transient terms in the general solution? If yes, what are they? 5. Find an explicit solution of: dy y + = 0. da cos 2 (3x) Be sure to clearly label steps to maximize your score.

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