integraalfaktori
An integraalfaktori is a mathematical tool used to solve first-order linear ordinary differential equations. These equations are generally of the form dy/dx + P(x)y = Q(x), where P(x) and Q(x) are functions of x. The goal of using an integrating factor is to transform this equation into a form where both sides can be directly integrated with respect to x.
The integrating factor, often denoted by $\mu(x)$, is calculated as $e^{\int P(x) dx}$. This factor is then
Once the equation is multiplied by the integrating factor, it takes the form $d/dx(\mu(x)y) = \mu(x)Q(x)$. Since