Exact Differential Equation | Solve (3x²y⁴+2xy)dx + (2x³y³−x²)dy = 0 | VTU 1BMATE101 & 1BMATC101

Описание: 📘 Exact Differential Equation | 1BMATE101 & 1BMATC101 | Module–3 ODE

In this video, we solve the differential equation
(3x²y⁴ + 2xy) dx + (2x³y³ − x²) dy = 0

using the Exact Differential Equation method, as prescribed in Module–3: Ordinary Differential Equations of 1BMATE101 and 1BMATC101.
The solution is explained step by step by: • Writing the equation in the standard form M dx + N dy = 0

• Checking the exactness condition
• Finding the potential function systematically
• Obtaining the general solution clearly for exam use

🎯 This is an important VTU exam-oriented problem and is useful for: • First order and first degree ODE
• Exact differential equations
• Polynomial-type ODE problems

📌 Watch till the end for a clear explanation with proper steps and full exam clarity.

📘📘 1BMATE101 – Engineering Mathematics
🎓 VTU 2025 Scheme | Semester 1
🔥🔥 MODEL QUESTION PAPER – I (ONE-TIME COMPLETE LIST) 🔥🔥
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🚨🚨 FIRST – MODEL QUESTION PAPER (COMMON FOR ALL MODULES) 🚨🚨
👉 👉    • VTU Model Question Paper–I 2025 | 1BMATE10...   👈 👈
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📕 MODULE 1 – Differential Calculus ✍️📈
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👉    • Module 1 Differential Calculus | Polar Cur...  
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📘 MODULE 2 – Power Series, Indeterminate Forms & Multivariable Calculus 🔁📊
🔥 Partial Differentiation | Multivariable Calculus
👉    • Partial Differentiation | Multivariable Ca...  
🔥 Maclaurin’s Series Expansion | Important VTU Problems
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🔥 Maclaurin Series – Important Problems
👉    • Maclaurin Series Important Problems  
🔥 Indeterminate Forms (1^∞) – Most Important Limits
👉    • Indeterminate Forms (1^∞) – Most Important...  
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👉    • Power Series, Indeterminate Forms & Multiv...  
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📙 MODULE 3 – Ordinary Differential Equations 🔄📐
(First Order & First Degree, Nonlinear ODEs)
🔥 ODE | VTU 1BMATE101 – Module 3
👉    • Ordinary Differential Equations (ODE) | VT...  
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📝 HOW TO USE THIS (EXAM STRATEGY) 🧠🔥
1️⃣ Watch Model Question Paper – I first
2️⃣ Identify weak modules
3️⃣ Revise module playlists
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