Variation of Parameters Method | Q7(b) VTU 1BMATE101 Model Paper 2025

Описание: 📘 VTU Model Question Paper–I (2025 Scheme)
1BMATE101 – Differential Calculus & Linear Algebra
First Semester B.E./B.Tech

📍 Module-4:Ordinary differential equations of higher Order

📝 Question No. 7(b)

📘 Variation of Parameters Method | Non-Homogeneous Differential Equation | VTU Engineering Mathematics

In this video, we solve a second-order non-homogeneous differential equation using the variation of parameters method, one of the most important techniques in Engineering Mathematics.

🧮 Problem Solved
Solve by variation of parameter method
d²y/dx² + y = 1 / (1 + sin x)

🎯 What you will learn in this video • Formation of the auxiliary equation
• Finding the complementary function (CF)
• Concept of variation of parameters
• Step-by-step calculation of u₁ and u₂
• Evaluating integrals involving trigonometric functions
• Writing the complete general solution
• Important VTU exam points and common mistakes

📌 Why this problem is important Variation of parameters is frequently asked in VTU examinations, model question papers, and internal tests. This exact type of RHS appears repeatedly, making this problem highly exam-relevant.

📘📘 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)
👉    • Ordinary Differential Equations (ODE) of f...  
━━━━━━━━━━━━━━━━━━━━━━━
📗 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 ⏳📖
━━━━━━━━━━━━━━━━━━━━━━━
👉 Follow VTU Maths with Muheeb (Mathematics Tutor) on WhatsApp
https://whatsapp.com/channel/0029Vb6c...

👉 Get all VTU Maths updates and video links on Telegram
https://t.me/vtumathswithmathematicst...

💎 Support Us
Join our channel and get access to exclusive perks 👇
🔗    / @officialmathematicstutor  

#VariationOfParameters
#DifferentialEquations
#EngineeringMathematics
#VTUMaths
#NonHomogeneousDE
#VTUExamPreparation
#MathsForEngineers