𝐏𝐞𝐧𝐝𝐮𝐥𝐮𝐦

🔄 The real pendulum ODE: y’’ = -sin(y)

Not the simplified textbook version. This ordinary differential equation captures full nonlinear motion where period depends on amplitude.

Plotted with our free ODE solver.

#ODE #DifferentialEquationss #engineering

𝐄𝐩𝐢𝐝𝐞𝐦𝐢𝐜 𝐒𝐩𝐫𝐞𝐚𝐝 (𝐒𝐈𝐑-𝐭𝐲𝐩𝐞)

🦠 How infections spread through a population. This ordinary differential equation balances transmission rate against recovery.

dy/dx = 0.3y(1 - y/1000) - 0.1y

Plotted with our free ODE solver.
#ODE #DifferentialEquations #epidemiology

𝐑𝐚𝐝𝐢𝐨𝐚𝐜𝐭𝐢𝐯𝐞 𝐃𝐞𝐜𝐚𝐲

☢️ Radioactive decay as an ordinary differential equation: dy/dx = -0.3y

The same ODE behind cooling, drug metabolism, and capacitor discharge. Solved with our free ODE solver.

#ODE #DifferentialEquations #Physics

𝐋𝐨𝐠𝐢𝐬𝐭𝐢𝐜 𝐄𝐪𝐮𝐚𝐭𝐢𝐨𝐧

What happens when growth hits a ceiling? 📊

This ordinary differential equation shows how populations level off at their carrying capacity.

dy/dx = 0.5y(1 - y/10)

Plotted with our free ODE solver.

#ODE #DifferentialEquations #ScienceEducation

📈 What unchecked growth really looks like.

dy/dx = 0.5y, y(0) = 1

One simple ordinary differential equation. One dramatic curve. Solved with our free ODE solver.

#ODE #DifferentialEquations #STEM