Consider a differential equation of the form

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

Problem

\displaystyle \frac{dy}{dx}=Ax+By+C

, where

A

B

, and

C

are constants. Its slope field has the following features: • All segments are horizontal along the line

y=-2x+3

. • The segment at the origin

(0,0)

has slope

6

. Determine the values of

A

B

, and

C