A slope field is generated by a differential equation of the form

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

\dfrac{dy}{dx}=kxy

, where

k

is a constant. The field shows that the slope at

(1,2)

6

, at

(2,1)

is also

6

, and at

(1,1)

3

. Determine the value of

k