Consider the differential equation $y ^ { \prime }$ = g(y) where g(y) is the function whose graph is shown below:
Indicate whether the following statements are true or false.
-If the initial value of y(0) is greater than 6, then the corresponding solution will be an increasing function.

Question

Consider the differential equation $y ^ { \prime }$ = g(y) where g(y) is the function whose graph is shown below: 
Indicate whether the following statements are true or false.
-If the initial value of y(0) is greater than 6, then the corresponding solution will be an increasing function.

Quizplus · Accepted Answer

If the initial value of y(0) is greater than 6, then the corresponding solution will be an increasing function because the derivative of the solution is positive for all t>0.

Consider the Differential Equation y′y ^ { \prime }y′ = G(y) Where G(y) Is the Function Whose Graph Is

Consider the Differential Equation $y ^ { \prime }$ = G(y) Where G(y) Is the Function Whose Graph Is