# How do you solve a first order differential equation?

## How do you solve a first order differential equation?

A first order differential equation is linear when it can be made to look like this: dy dx + P(x)y = Q(x) Where P(x) and Q(x) are functions of x. To solve it there is a special method: We invent two new functions of x, call them u and v, and say that y=uv.

### What is the general solution to a differential equation?

The general solution is simply that solution which you achieve by solving a differential equation in the absence of any initial conditions. The last clause is critical: it is precisely because of the lack of initial conditions that only a general solution can be computed.

#### How to solve a differential equation?

Solving. So a Differential Equation can be a very natural way of describing something. But it is not very useful as it is.

**How do you find the solution set for an equation?**

To find the solution set of an equation with a given domain, you first need to plug each value in the domain into the equation to get the respective range values. Create ordered pairs from these values and write them as a set.