The slope field for a differential equation is shown, and the solution curve passing through $(0,1)$ is drawn. What is the value of $\dfrac{dy}{dx}$ at the point $(1,2)$ if that point also lies on the drawn curve and the differential equation is $\dfrac{dy}{dx} = \dfrac{x}{y+1}$?

Question

Accepted Answer

A. $\dfrac{1}{3}$

Answer

$\dfrac{1}{3}$

Answer

$\dfrac{1}{2}$

Answer

$3$

Answer

$\dfrac{2}{3}$

The slope field for a differential equation is shown, and the solution curve passing through $(0,1)$ is drawn. What is the value of $\dfrac{dy}{dx}$ at the point $(1,2)$ if that point also lies on the drawn curve and the differential equation is $\dfrac{dy}{dx} = \dfrac{x}{y+1}$ ?

Explanation

Core Concept

Correct Answer

More Unit 7: Differential Equations practice questions