Equilibrium solutions and phase lines Find the equilibrium solutions for each of the differential equations in Exercise Group 1.3.7.8-13. Draw the phase line for each equation and classify each equilibrium solution as a sink, a source, or a node. dx 9. dt 8. y' = 2y – 5 (x – 1)(x + 2) dx dy 10. dt (2² – 1)(x – 2) 11. = sin 2y %3D dx 12. a' = (x² + 1)(x – 1) 13. x' x2 + x +1 %3D

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.