Equation of motion: All of the below ordinary differential equations (ODES) describe motion subjected to different forcing functions: In all cases, the velocity v is the dependent variable and time I is the independent variable. In all cases, for simplicity let m = 1 kg and F = 10 N unless otherwise noted. For background reading, Chapter 2.1-2.6 covers objects in a gravitational field and solution through separation of variables. Note that a gravitational field is at the same thing as a constant forcing function. In this case F = mg. Chapter 3.2 and 3.3 gives the definition of a linear ODE and the method of the integration factor for first order, linear ODES. For each of these equations, answer the following questions:

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