Question: I. Differential Equations 1. Solve the following differential equations using the general formula 2 = 4xy + 4x ii) y' - 4ty - tet 2.

I. Differential Equations 1. Solve the following differential equations using the general formula 2 = 4xy + 4x ii) y' - 4ty - tet 2. Exact differential equations y = (2ty - e =)y' 3. Integrating factor i ) (3ely + x)dx + e*dy = 0 4. Separation of variables D dx - 18 +2 "+2at, x(0) = 1 6.x2 5. Phase diagram x=x- 10x + 16 Construct a phase diagram for the following nonlinear differential equation and test the dynamic stability using the derivative test

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