A separable differential equation can be expressed as dy/dx = g(x)*h(y), allowing it to be separated into two functions of x and y, which can be solved independently.
Imagine you're trying to clean your room. You decide to separate the task into two parts: cleaning your desk (g(x)) and making your bed (h(y)). By separating these tasks, you can focus on one at a time and make the job more manageable - just like solving a separable differential equation!
Differential Equation: An equation involving derivatives of an unknown function.
Integration: The process used to find the antiderivative or integral of a function.
Partial Differential Equation (PDE): A type of differential equation that contains unknown multivariable functions and their partial derivatives.
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