How?? Cant make it work...bigubau said:Multiply by y' and you'll be able to integrate both terms of the new equation.
A differential equation is a mathematical equation that relates an unknown function to its derivatives. It is used to describe and predict the behavior of systems that involve change over time or space.
The purpose of solving a differential equation is to find the function that satisfies the equation and can be used to model and understand the behavior of the system being studied.
An ordinary differential equation (ODE) contains only one independent variable, while a partial differential equation (PDE) contains multiple independent variables. ODEs describe systems that change over time, while PDEs describe systems that change over both time and space.
A "REQ solution" refers to a particular type of solution to a differential equation, which stands for Reduction of Order with Equimultiple Quadrature. It involves reducing the order of the equation and using equimultiple quadrature to solve for the remaining unknown function.
To check if a given function is a solution to a differential equation, you can substitute the function into the equation and see if it satisfies the equation. Alternatively, you can take the derivatives of the function and see if they match the derivatives in the equation.