Applied Mathematics | PYQ Discussion (2021-2025) | MH SET 2026 | Lec-6 | IFAS

Applied Mathematics | PYQ Discussion (2021-2025) | MH SET 2026 | Lec-6 | IFAS explained with clear concepts and exam-focused approach. Master MH SET 2026 preparation with Applied Mathematics PYQs covering ODE, PDE, numerical methods, and integral equations tricks, plus problem‑solving for competitive exam success. 🔥Join India's Best Coaching for CSIR NET and GATE Exams: https://ifasonline.com/csir-net/mathe... 📞 Need Guidance? Call/WhatsApp: 9172266888 ━━━━━━━━━━━━━━━━━━━━━━━━━ ⏳ Lecture Timeline: [00:00:00] – Introduction: Applied Mathematics [00:03:07] – Q1: Diff. Eq. from Family of Curves [00:07:42] – Q2: Lipschitz Constant Calculation [00:12:12] – Q3: Logistic Equation Limit at Infinity [00:16:17] – Q4: PDE Integral Surfaces (Infinite) [00:22:56] – Q5: Hyperbolic PDE Condition [00:27:25] – Q6: Envelope of Planes (Charpit Method) [00:35:51] – Q7: Difference Operator Relations [00:40:45] – Q8: nth Forward Difference of Polynomial [00:42:47] – Q9: Trapezoidal Rule Error Order [00:45:17] – Q10: Forward Difference of Exponential [00:49:08] – Q11: Composite Simpson’s 1/3 Rule [00:51:23] – Q12: Fredholm vs Volterra Classification [00:52:08] – Q13: Resolvent Kernel for Volterra Eq. [00:53:27] – Q14: Eigenvalues of Integral Equation [00:57:55] – Homework: Volterra Eq. (Beta Function) [01:04:31] – Complete Session (Applied Mathematics ) ━━━━━━━━━━━━━━━━━━━━━━━━━ 📖 Topics Covered in This Lecture: • ODE Formation, Lipschitz Constant & Limit Problems Tricks • PDE Lagrange Method, Integral Surfaces & Second‑Order Classification • Charpit’s Method, Envelope, Numerical Operators & Simpson’s Rule PYQs • Integral Equations: Fredholm vs Volterra, Resolvent Kernel & Eigenvalues ━━━━━━━━━━━━━━━━━━━━━━━━━ 📚 Lecture Summary: In this session, IFAS Expert Faculty focuses on Applied Mathematics PYQ discussion (2021-2025) for MH SET 2026. Key concepts like forming ODEs, Lipschitz condition, PDE integral surfaces, hyperbolic/elliptic classification, numerical operators relations, trapezoidal and Simpson’s rule errors, and Fredholm/Volterra integral equations are solved with tricks. The Applied Mathematics PYQ discussion strengthens problem‑solving for MH SET 2026. ━━━━━━━━━━━━━━━━━━━━━━━━━ 🎓 This lecture is highly beneficial for students preparing for: ✅ CSIR NET Mathematical Science ✅ GATE Mathematics ✅ SET Mathematics ✅ TIFR Mathematics ✅ PhD Entrance Exams ━━━━━━━━━━━━━━━━━━━━━━━━━ 🏆 Why IFAS is India’s No. 1 Choice for CSIR NET & GATE Mathematics? (Our Results Speak): ✅ CSIR NET Dec 2025: 4000+ Selections (AIR 3, 8, 9.....) ✅ CSIR NET June 2025: 4200+ Selections (AIR 1, 2, 6, 10...) ✅ CSIR NET Dec 2024: 4000+ Selections (AIR 5, 6, 7, 8, 9...) ✅ CSIR NET June 2024: 2000+ Selections (AIR 3, 10, 13...) ✅ CSIR NET Dec 2023: 1200+ Selections (AIR 2, 4, 5...) 📄 View IFAS Result Sheet: 👉 https://drive.google.com/file/d/1THh6... ━━━━━━━━━━━━━━━━━━━━━━━━━ 🔗 Important Links: 🌍 Visit our Website: https://ifasonline.com 📞 Contact for Queries: 9172266888 📘 Free Counselling: https://ifasonline.com/csir-net/mathe... ━━━━━━━━━━━━━━━━━━━━━━━━━ 🔗 India's Best Online Classes and Books: 🔥CSIR NET Mathematical Science Live & Recorded Course: https://ifasonline.com/csir-net/mathe... 🎯 GATE Mathematics Recorded Course: https://ifasonline.com/gate/mathemati... 📘CSIR NET Mathematical Science Books: https://ifasonline.com/csir-net/mathe... ━━━━━━━━━━━━━━━━━━━━━━━━━ 📲 Download IFAS App: Android: https://play.google.com/store/apps/de... IOS: https://apps.apple.com/us/app/ifas/id... ━━━━━━━━━━━━━━━━━━━━━━━━━ Stay Updated Via Other Social Media: ✔Telegram: https://t.me/NET_GATE_SET_Maths_Discu... ✔Instagram:   / csir_net_mathematical_science   #appliedmathematics #exammappingseries #gatemathematics #csirnetmaths #csirnetjune2026 #csirnetlecture #ifasmathematics