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Exact Differential Equation |Solve (y³ − 3x²y)dx − (x³ − 3xy²)dy = 0 | VTU M1/M2

Welcome to SK Academy of Mathematics! 🎓

In this video, we solve a Variable Separable Differential Equation step by step, which is a very important topic for VTU Engineering Mathematics (M1/M2) and other university exams like B.Tech, B.E., CSIR NET, and K-SET.

📘 Problem Discussed:

(y^3 - 3x^2y)dx - (x^3 - 3xy^2)dy = 0

We’ll walk you through the method of separation of variables and show you how to identify and solve such equations with ease. This topic frequently appears in VTU 1st semester Mathematics papers and is essential for scoring high marks.

✅ What you’ll learn:

· How to check if a differential equation is variable separable
· Step-by-step integration technique
· Final solution with proper explanation

📚 Chapters:
0:00 – Introduction
0:45 – Identifying the type of equation
2:30 – Rearranging terms
4:15 – Integration process
6:50 – Final solution & verification

🔔 Subscribe to SK Academy of Mathematics for more VTU Math videos, Engineering Mathematics tricks, and exam-oriented content.

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Видео Exact Differential Equation |Solve (y³ − 3x²y)dx − (x³ − 3xy²)dy = 0 | VTU M1/M2 канала SK-Academy Of Mathematics
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