MIXTURE PROBLEM ||First Order Linear Differential Equation|| |BSc 2nd year| IMPORTANT BOOK SOLUTION

PDF NOTES: https://drive.google.com/file/d/10U5j...


In this video, we’ll learn how to solve Method of Mixture problems using the First Order Linear Differential Equation approach — an important topic for B.Sc. 2nd Year Mathematics students. This lesson covers the step-by-step formulation of the initial value problem (IVP), setting up the differential equation, and finding the expression for the amount or concentration of a substance in a tank or pond with inflow and outflow.

We’ll discuss:
✅ Concept of the Method of Mixture
✅ Derivation of the governing differential equation
✅ Solving using integrating factor method
✅ Finding expressions for concentration and amount of substance at time t
✅ Real-world examples related to salt, chemical, and pollutant mixing problems

This video is especially useful for B.Sc. Physical Science and Mathematics students in Nepal following Tribhuvan University (TU) or other similar curricula. The explanation is simple and detailed so you can easily understand each step and apply it in your exams.

📚 Topic Covered:

First Order Linear Differential Equation

Method of Mixture

Initial Value Problem (IVP)

Salt and Chemical Mixing Models

Exponential Decay and Growth in Mixture Problems


🎓 Level: B.Sc. 2nd Year
🎯 Subject: Mathematics (Differential Equations)
🧮 Chapter: First Order Linear Differential Equation / Applications


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