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

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

📘 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) 🔥🔥 💯 MOST IMPORTANT | MUST WATCH | EXAM FOCUSED 📄 Covers ALL 5 MODULES 🎯 Based on latest VTU pattern ⏱️ Best for revision + exam confidence ━━━━━━━━━━━━━━━━━━━━━━━ 🚨🚨 FIRST – MODEL QUESTION PAPER (COMMON FOR ALL MODULES) 🚨🚨 👉 👉    • VTU Model Question Paper–I 2025 | 1BMATE10...   👈 👈 ━━━━━━━━━━━━━━━━━━━━━━━ 📕 MODULE 1 – Differential Calculus ✍️📈 🔥 Most Important Playlist (Must Watch) 👉    • Module 1 Differential Calculus | Polar Cur...   ⭐ Important Playlist 👉    • Differential Calculus | VTU 1BMATE101 – Mo...   ━━━━━━━━━━━━━━━━━━━━━━━ 📘 MODULE 2 – Power Series, Indeterminate Forms & Multivariable Calculus 🔁📊 🔥 Partial Differentiation | Multivariable Calculus 👉    • Partial Differentiation | Multivariable Ca...   🔥 Maclaurin’s Series Expansion | Important VTU Problems 👉    • Maclaurin’s Series Expansion | Important V...   🔥 Maclaurin Series – Important Problems 👉    • Maclaurin Series Important Problems   🔥 Indeterminate Forms (1^∞) – Most Important Limits 👉    • Indeterminate Forms (1^∞) – Most Important...   ⭐ Important Playlist 👉    • Power Series, Indeterminate Forms & Multiv...   ━━━━━━━━━━━━━━━━━━━━━━━ 📙 MODULE 3 – Ordinary Differential Equations 🔄📐 (First Order & First Degree, Nonlinear ODEs) 🔥 ODE | VTU 1BMATE101 – Module 3 👉    • Ordinary Differential Equations (ODE) | VT...   🔥 Solvable for P (Differential Equations) 👉    • Solvable for P (Differential Equations)   ⭐ Important Playlist (Must Watch) 👉    • VTU Module–3 ODE | Most Important Problems...   ━━━━━━━━━━━━━━━━━━━━━━━ 📗 MODULE 4 – Higher Order Ordinary Differential Equations 📘➕ 🔥 Most Important Playlist (Must Watch) 👉    • Higher-Order Ordinary Differential Equatio...   ━━━━━━━━━━━━━━━━━━━━━━━ 📕 MODULE 5 – Linear Algebra 🧮📐 🔥 Linear Algebra Made Simple – Complete 👉    • Linear Algebra Made Simple | Rank, Consist...   📌 Note: Gauss–Jordan Method is NOT required for this syllabus 🔥 Gauss Seidel Method & Rayleigh Power Method 👉    • Gauss Seidel method and Rayleigh power method   ⭐ Important Playlist 👉    • Linear Algebra | VTU 1BMATE101 – Module 5 ...   ━━━━━━━━━━━━━━━━━━━━━━━ 📝 HOW TO USE THIS (EXAM STRATEGY) 🧠🔥 1️⃣ Watch Model Question Paper – I first 2️⃣ Identify weak modules 3️⃣ Revise module playlists 4️⃣ Rewatch Model QP before exam ⏳📖 ━━━━━━━━━━━━━━━━━━━━━━━ 📩 Message your Subject Code to: 📞 9886525526 📩 Get structured VTU study updates, playlists & exam tips 🚀 🙏 Share this with your friends – one message, full syllabus covered 💯 💎 Support Us: Join our channel and get access to exclusive perks 👇 🔗    / @officialmathematicstutor   #ExactDifferentialEquations #1BMATE101 #1BMATC101 #Module3ODE #FirstOrderDifferentialEquations #EngineeringMathematics #VTUExamPreparation