Essential Concepts
- A separable differential equation is any equation that can be written in the form y′=f(x)g(y)y′=f(x)g(y).
- The method of separation of variables is used to find the general solution to a separable differential equation.
Key Equations
- Separable differential equation
y′=f(x)g(y) - Solution concentration
dudt=INFLOW RATE−OUTFLOW RATE - Newton’s law of cooling
dTdt=k(T−Ts)
Glossary
- autonomous differential equation
- an equation in which the right-hand side is a function of y alone
- separable differential equation
- any equation that can be written in the form y′=f(x)g(y)
- separation of variables
- a method used to solve a separable differential equation
Candela Citations
CC licensed content, Shared previously
- Calculus Volume 2. Authored by: Gilbert Strang, Edwin (Jed) Herman. Provided by: OpenStax. Located at: https://openstax.org/books/calculus-volume-2/pages/1-introduction. License: CC BY-NC-SA: Attribution-NonCommercial-ShareAlike. License Terms: Access for free at https://openstax.org/books/calculus-volume-2/pages/1-introduction