Standard form of Separable Differential Equation
Below is the standard form of Separable differential equation.
dy/dx = f(x)g(y)
Solution of the above differential equation is done by separating both the variables on either side of the equal sign,
dy/g(y) = dx/f(x)
and then integrating them individually.
This method of solving separable differential equations was first proposed by G. Leibniz in 1691 and was finalized by J. Bernoulli in 1694. In this article, we will learn about the separable differential equation, its solution, and others in detail.
Separable Differential Equations
Separable differential equations are a special type of ordinary differential equation (ODE) that can be solved by separating the variables and integrating each side separately. Any differential equation that can be written in form of y’ = f(x).g(y), is called a separable differential equation.
Separable Differential Equation
Basic form of the Separable differential equations is dy/dx = f(x) g(y), where x is the independent variable and y is the dependent variable.
Table of Content
- Standard form of Separable Differential Equation
- What is Separable Differential Equation?
- How to Solve Separable Differential Equations
- Initial Value Problem on Separable Differential Equations
- Examples on Separable Differential Equations
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