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Differential Equations

★★★☆☆High School

📖Definition

A differential equation relates an unknown function to its derivatives. It's a fundamental tool for modeling physical phenomena.

(dy)/(dx) = f(x, y)

First-order differential equation

(d²y)/(dx²) + p(dy)/(dx) + qy = 0

Second-order linear homogeneous

y = Ce^rx

Exponential solution form

예제 1

Solve dy/dx = 2y.

예제 2

Solve y'' + y = 0.

Newtonian mechanics, electromagnetism

Population growth, epidemiology

Growth models

#미분방정식#ODE#differential equation