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In this video, we derive the radioactive decay law step-by-step and understand how mathematics models the decay of unstable nuclei. In this lesson, you will learn: ✔ The basic concept of radioactive decay ✔ The assumption behind the decay model ✔ How to form the first-order differential equation ✔ Step-by-step derivation of the decay formula ✔ The exponential decay function ✔ Meaning of decay constant (λ) ✔ Concept of half-life ✔ Physical interpretation of exponential decay This video is perfect for students studying: 📘 Engineering Mathematics 📘 Physics 📘 Applied Mathematics 📘 Nuclear Physics basics 📘 University and competitive exams By the end of this video, you’ll clearly understand how first-order differential equations lead to the exponential decay formula and how it applies to real-world physical systems. If this video helps you: 👍 Like the video 📤 Share with your classmates 🔔 Subscribe for more mathematics and physics applications tutorials #RadioactiveDecay #FirstOrderDifferentialEquations #ExponentialDecay #DifferentialEquations #EngineeringMathematics #PhysicsConcepts #AppliedMathematics #HalfLife #STEMEducation #ExamPreparation #MathInPhysics social media links Twitter; https://x.com/PhysicProfessor Facebook; https://www.facebook.com/profile.php?... Instagram; / leprofessoragui Tiktok; / le.professor.agui Linkedin; www.linkedin.com/in/le-professor-agui-4a7840360 Reddit; / leprofessoragui