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 2, then the corresponding solution has an inflection point.

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 2, then the corresponding solution has an inflection point.

Quizplus · Accepted Answer

An inflection point is determined by the second derivative of a function changing signs, indicating a change in concavity. The initial value y(0) = 2 alone does not provide enough information to determine the existence of an inflection point without knowing the specific function or differential equation governing y.

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