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Equations Reducible to Homogeneous Form | Differential Equations | L-08
🚀 Welcome to Lecture 08 of our complete Differential Equations series!
In this video, we are tackling one of the most critical concepts: Differential Equations Reducible to Homogeneous Form. If you've ever struggled with equations of the form dy/dx = (ax + by + c) / (a1x + b1y + c1), this step-by-step guide will break down the exact substitution method you need to ace your exams.
👇 What You Will Learn in This Lecture:
- Introduction to Reducible Forms
- Identifying Case 1: When a/a1 ≠ b/b1 (The x = X + h, y = Y + k method)
- Identifying Case 2: When a/a1 = b/b1 (The shortcut substitution method)
- Step-by-Step Solved Examples & Common Mistakes to Avoid
- Practice Questions & Home Assignment
💡 Key Formulas Covered:
• x = X + h , y = Y + k
• dy/dx = dY/dX
• Reducible to Homogeneous Form reduction trick
Make sure to grab your notebook, pause the video to solve the examples along with me, and drop your answers to the assignment question in the comments below!
---------------------------------------------------
for notes and more
https://sites.google.com/view/emers-com/home
#DifferentialEquations #Calculus #EngineeringMath #Class12Math #BScMath #HomogeneousEquations #MathTutorials
Видео Equations Reducible to Homogeneous Form | Differential Equations | L-08 канала EMERGING SCIENCES
In this video, we are tackling one of the most critical concepts: Differential Equations Reducible to Homogeneous Form. If you've ever struggled with equations of the form dy/dx = (ax + by + c) / (a1x + b1y + c1), this step-by-step guide will break down the exact substitution method you need to ace your exams.
👇 What You Will Learn in This Lecture:
- Introduction to Reducible Forms
- Identifying Case 1: When a/a1 ≠ b/b1 (The x = X + h, y = Y + k method)
- Identifying Case 2: When a/a1 = b/b1 (The shortcut substitution method)
- Step-by-Step Solved Examples & Common Mistakes to Avoid
- Practice Questions & Home Assignment
💡 Key Formulas Covered:
• x = X + h , y = Y + k
• dy/dx = dY/dX
• Reducible to Homogeneous Form reduction trick
Make sure to grab your notebook, pause the video to solve the examples along with me, and drop your answers to the assignment question in the comments below!
---------------------------------------------------
for notes and more
https://sites.google.com/view/emers-com/home
#DifferentialEquations #Calculus #EngineeringMath #Class12Math #BScMath #HomogeneousEquations #MathTutorials
Видео Equations Reducible to Homogeneous Form | Differential Equations | L-08 канала EMERGING SCIENCES
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21 мая 2026 г. 13:41:59
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