Question: Consider the differential equation y + ay + by = 0, y(0) = 3, y(0) = 5. This has a fundamental set of solutions {y

Consider the differential equation y + ay + by = 0, y(0) = 3, y(0) = 5. This has a fundamental set of solutions {y₁(t), y₂(t)}, where y₁(t) = e^t. If the Wronskian formed by y₁(t) and y₂(t) is 4e^2t, what is y₂(t)? In addition, find the values for a and b, and solve the Initial Value Problem.

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