Consider the Differential Equation $\frac { d y } { d t } = y - t$

Essay

Consider the differential equation $\frac { d y } { d t } = y - t$ .(a) What are the equilibrium solutions?
(b) What are the points in the $t y$ -plane at which the slope of the solution curve is $0$ ?
(c) What are the points in the $t y$ -plane at which the slope of the solution curve is $1$ ?
(d) What are the points in the $t y$ -plane at which the slope of the solution curve is -1?
(e) Use the information from above to sketch the direction field for the given differential equation.