For each of the following differential equations, find all equilibrium solutions (if any exist) and determine...

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For each of the following differential equations, find all equilibrium solutions (if any exist) and determine their stability (feel free to use Geogebra to see slopefields). Then solve the differential equation (or initial value problem) by separation of variables. 9. dy = 1, y(2) = 4. dx 10. dy = yx 11. dy = (y-1) x, y(0) = 4 12. dy = x(1+ y) dx For each of the following differential equations, find all equilibrium solutions (if any exist) and determine their stability (feel free to use Geogebra to see slopefields). Then solve the differential equation (or initial value problem) by separation of variables. 9. dy = 1, y(2) = 4. dx 10. dy = yx 11. dy = (y-1) x, y(0) = 4 12. dy = x(1+ y) dx