Mathematics, 01.10.2019 01:30, mayaparness

Problem 1: consider the initial value problem y' + (1/4)y = 3 + 2cos(2t), y(0) = 0. (a) find the solution of this initial value problem and describe its behavior for large t. (b) determine the value of t for which the solution first intersects the line y = 12.
problem 2: find the value of latex: y_0y 0 for which the solution of the initial value problem y' - y = 1+ 3sin(t), y(0) = latex: y_0

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Problem 1: consider the initial value problem y' + (1/4)y = 3 + 2cos(2t), y(0) = 0. (a) find the so...