Exercise 9.3| Reducible to homogeneous differential Equations | Chapter 9 BSc Math Methods

Welcome to Maths by Amna, your trusted source for in-depth mathematics tutorials. In this comprehensive video lesson, we focus on Exercise 9.3 from Chapter 9: Differential Equations of the BSc Mathematical Methods course. The topic covered in this lecture is "reducible to Homogeneous Equations" — an important method used to solve certain types of first-order differential equations that are not directly homogeneous but can be reduced to homogeneous form by a clever substitution. In this video, you will learn: The difference between homogeneous and non-homogeneous differential equations How to identify an reducible homogeneous equation Step-by-step method to reduce the equation using a suitable substitution (usually of the form 📌 Check whether it is homogeneous or not 📌 check a1/a2=b1/b2 or not 📌 put x=X+h, y=Y+k dx = dX dy = dY 📌 Put the sum of constant terms = 0 and find the value of the constants h and k 📌 Then solved by the method of homogeneous differential equations How to apply the homogeneous equation solving method once transformed Fully solved examples from Exercise 9.3 are explained clearly and concisely Tips for recognizing patterns and common mistakes to avoid in exams This video is specially designed for BSc/BS Mathematics students, but is also helpful for anyone studying ordinary differential equations at the undergraduate level. Whether you're preparing for an exam or strengthening your understanding of the topic, this lesson will make it easy and understandable. 📌 Don’t forget to: 👍 Like this video if you find it helpful 💬 Comment below with your questions or feedback 🔔 Subscribe to Maths by Amna for more BSc-level mathematics content 📚 Stay connected for upcoming videos on all exercises from Chapter 9!