Explain why integrating the differential equation (where is a non-zero constant)…

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

Problem

Explain why integrating the differential equation

\dfrac{dy}{dx}=k y

(where

k

is a non-zero constant) leads to an explicit general solution of the form

y(x)=A e^{kx}

for some non-zero constant

A