In one clear sentence

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

Problem

In one clear sentence, explain why showing that the derivative dydx\dfrac{dy}{dx} obtained from a proposed function y(x)y(x) is identically equal to the right–hand side of a differential equation is sufficient to confirm that y(x)y(x) is a solution of that equation.

Related theory

Browse the problem library