Taylor's Series Method | Find y at x=0.1, 0.2, 0.3 | dy/dx = x² + y², y(0)=1 | VTU Engineering Maths
Welcome to SK Academy of Mathematics! 🎯 In this video, we solve an important Taylor's Series Method problem step-by-step: 📌 Problem: Use Taylor's series method to find y at x = 0.1, 0.2, 0.3 considering terms up to the fourth degree, given: \frac{dy}{dx} = x^2 + y^2, \quad y(0) = 1 ✅ What you’ll learn: · Taylor’s series expansion formula · Finding successive derivatives · Applying initial condition · Computing y at given x values · Accuracy up to 4th degree terms 📚 Perfect for: VTU – M1 / M2 B.E / B.Tech CSIR NET K-SET Engineering Mathematics Exams 2026 🔔 Subscribe to SK Academy of Mathematics for more exam-ready content. 📢 Like, Share & Comment your doubts below! --- 🏷️ Hashtags (Trending 2026 | VTU Exam | Most Viewed) #TaylorsSeriesMethod #EngineeringMathematics #VTU #VTUExam2026 #SKAcademyOfMathematics #NumericalMethods #BtechMaths #CSIRNET #KSET #M1VTU #M2VTU #DifferentialEquations #TaylorSeriesProblem #EngineeringMaths2026 #MostViewed #TrendingMaths #ExamPrep #VTUEngineering 📌 General Engineering Maths 2026 #EngineeringMaths #VTUMaths #MathsTutorial #ExamTips2026 #EngineeringExam #MathsProblemSolving #NumericalAnalysis #InitialValueProblem #ODEs #StepByStepMaths 📌 VTU Specific #VTUFirstYear #VTUM1 #VTUM2 #VTUBE #VTU2026 #VTUExamPreparation #VTUUpdates #VTUSyllabus #VTUEngineeringMaths 📌 Taylor's Series Specific #TaylorSeries #TaylorExpansion #SeriesSolution #PowerSeriesMethod #TaylorTheorem #IVPByTaylor 📌 YouTube & Trending #TrendingMaths #MostViewed #ViralMaths #MathsShortTrick #EngineeringTutorial #CBSEMaths #IndiaEngineering #SKAcademy #LearnWithSK 📌 Competitive Exams #CSIRNETMaths #KSETMaths #GATEPreparation #GPSCMaths #UPSCMaths #IGCSEFurtherMaths ---
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