Exercise Group 1.3.7.7–12. Equilibrium solutions and phase lines.

Find the equilibrium solutions for each of the differential equations in Exercise Group 1.3.7.7–12. Draw the phase line for each equation and classify each equilibrium solution as a sink, a source, or a node.
7.
\(y' = 2y - 5\)
8.
\(\dfrac{dx}{dt} = (x - 1)(x + 2)\)
9.
\(\dfrac{dx}{dt} = (x^2 - 1)(x - 2)\)
10.
\(\dfrac{dy}{dx} = \sin 2y\)
11.
\(x' = (x^2 + 1)(x - 1)\)
12.
\(x' = x^2 + x + 1\)
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