From your attachment, here's what you have:shreddinglicks said:
A separable equation is a type of differential equation where the variables can be separated into two separate equations that can be solved independently.
An equation is separable if it can be written in the form dy/dx = f(x)g(y), where f(x) and g(y) are functions of x and y, respectively. If an equation can be rewritten in this form, it is separable.
The general process for solving a separable equation involves separating the variables, integrating both sides of the equation, and then solving for the constant of integration. This will result in a general solution, which can then be used to find specific solutions by plugging in initial conditions.
Yes, there are several techniques that can be used to solve separable equations, such as substitution, integration by parts, and separation of variables. It is important to carefully choose the most appropriate method for each specific equation.
Yes, a calculator can be a helpful tool for solving separable equations, especially for evaluating integrals. However, it is important to understand the underlying concepts and steps involved in solving the equation, rather than solely relying on a calculator.
