7. A slope field for the differential equation y' = 2y (1-3) is shown below. y'...

Transcribed Image Text:

7. A slope field for the differential equation y' = 2y (1-3) is shown below. y' = 2y (1-1) A ♡ 2 1 0 -1 22 (0, 1) √@ = d -1 0 1 2 3 4 10 y (0) = -1 7.(c). (2 points) Show that for y(0) = c ≥ 0, we have lim y(x) is finite. 5 7 6 points + X 6 7.(a). (2 points) Sketch the graph of the solution that satisfies following initial condition. Label the solution as (a). y (0) = 1 7.(b). (2 points) Sketch the graph of the solution that satisfies following initial condition. Label the solution as (b). 7. A slope field for the differential equation y' = 2y (1-3) is shown below. y' = 2y (1-1) A ♡ 2 1 0 -1 22 (0, 1) √@ = d -1 0 1 2 3 4 10 y (0) = -1 7.(c). (2 points) Show that for y(0) = c ≥ 0, we have lim y(x) is finite. 5 7 6 points + X 6 7.(a). (2 points) Sketch the graph of the solution that satisfies following initial condition. Label the solution as (a). y (0) = 1 7.(b). (2 points) Sketch the graph of the solution that satisfies following initial condition. Label the solution as (b).