𝐁𝐞𝐫𝐧𝐨𝐮𝐥𝐥𝐢 𝐄𝐪𝐮𝐚𝐭𝐢𝐨𝐧

⚖️ dy/dx = y - y²

A classic ordinary differential equation where linear growth battles quadratic decay until equilibrium wins.

Solved with our free ODE solver.

#ODE #DifferentialEquations #mathematics

𝐕𝐚𝐧 𝐝𝐞𝐫 𝐏𝐨𝐥 𝐎𝐬𝐜𝐢𝐥𝐥𝐚𝐭𝐨𝐫

💓 y’’ = 3(1 - y²)y’ - y

This nonlinear ordinary differential equation produces self-sustaining oscillations. Used to model heartbeats and biological rhythms.

Plotted with our free ODE solver.

#ODE #DifferentialEquations #NonlinearDynamics

𝐇𝐚𝐫𝐦𝐨𝐧𝐢𝐜 𝐎𝐬𝐜𝐢𝐥𝐥𝐚𝐭𝐨𝐫

🌊 y’’ = -y

The most fundamental ordinary differential equation in physics. Pure sinusoidal motion, no damping, no driving force.

Solved with our free ODE solver.

#ODE #DifferentialEquations #STEM

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

There’s still time to get a team involved in SCUDEM XI!

We put together six reasons to participate: www.comap.org/blog/item/re...

Registration closes October 16 at 2:00 p.m. ET. Visit scudem.org to register.

#SCUDEM #MathModeling #DifferentialEquations #MathEducation

SCUDEM starts next week! Teams of up to 3 students will choose a challenge, build a model, and share their findings in a 10-minute video presentation.

Bring your team together and register at scudem.org.

#SCUDEM #MathematicalModeling #DifferentialEquations

SCUDEM challenges you to gather a team of up to three students, choose a problem in physics and engineering, chemistry and life sciences, or social sciences, and build a model to explore it.

Learn more and register by October 16: scudem.org

#SCUDEM #MathModeling #DifferentialEquations #STEM

“People often assume it means being a human calculator. But #mathematics is vast, a language, a science, and an art. More people should know this.” - Gervy Marie Angeles

➡️ hermathsstory.eu/gervy-marie-...

#DifferentialEquations #RoleModels #WomenInMaths #HerMathsStory

SCUDEM gives undergraduate students a chance to work through an open-ended problem, build a model, collaborate with a team, and explain their results.

Read more: www.comap.org/blog/item/sc...

#SCUDEM #DifferentialEquations #MathModeling #AppliedMathematics