Differential equations are equations that involve derivatives of one or more unknown functions. These equations describe the relationship between a function and its derivatives and are widely used to model various natural phenomena and processes in physics, engineering, biology, economics, and many other fields.
Examples of differential equations that you are going to see in H2 A Level Math can be arranged in this form:
To solve the differential equation, we’ll rearrange the equation and integrate both sides:
The general solution of a differential equation includes all possible solutions to the equation. It often involves arbitrary constant(s).
A particular solution of a differential equation is a specific solution that satisfies the given initial or boundary conditions. Unlike the general solution that has arbitrary constant(s), a particular solution does not. It is a unique solution that fits the specific conditions.