A first-order linear differential equation is of the form \( \frac{dy}{dx} + P(x)y = Q(x) \). To solve it, you can use an integrating factor: \( e^{\int P(x) \, dx} \). Check out our detailed guide here: First-Order Linear Details 🔗.
Described by the equation \( m\frac{d^2x}{dt^2} + kx = 0 \), which represents systems like springs. Learn more about calculating solutions: Simple Harmonic Motion Explained 🎵.
Visual representations showing the trajectories of systems of differential equations. Explore beautiful phase portraits here: Phase Portraits Gallery 🎨.