Master Cauchy's Differential Equation (Type 1) with Step-by-Step Solution ✨
Learn how to solve a Cauchy’s Differential Equation (Type 1) involving higher-order derivatives with this detailed, easy-to-follow tutorial. Perfect for engineering mathematics students!

Mathematics Tutor
39 views • Nov 2, 2025

About this video
In this video, we solve a Cauchy’s Differential Equation (Type 1) problem step-by-step:
👉 x²y″ − 3xy′ + 5y = 3 sin(log x)
This question was asked in:
📘 Subject Code: BEE301
📘 Exam: Second Semester B.E./B.Tech Degree Examination (Dec.2023/Jan.2024)
📘 Subject: Mathematics – III (for Electrical & Electronics Engineering)
📘 Question No: 1(c)
Learn how to convert the given Cauchy’s equation into a linear differential equation with constant coefficients using substitution, and find the complementary function (CF) and particular integral (PI) systematically.
#CauchyEquation #CauchyEulerEquation #HigherOrderDifferentialEquation #VTUMathematics3 #VTUBEE301 #VTUBEC301 #EngineeringMathematics #VTUExam2024 #VTUQuestions #MathsForEngineers #Type1DifferentialEquation #VTUSolvedPaper
👉 x²y″ − 3xy′ + 5y = 3 sin(log x)
This question was asked in:
📘 Subject Code: BEE301
📘 Exam: Second Semester B.E./B.Tech Degree Examination (Dec.2023/Jan.2024)
📘 Subject: Mathematics – III (for Electrical & Electronics Engineering)
📘 Question No: 1(c)
Learn how to convert the given Cauchy’s equation into a linear differential equation with constant coefficients using substitution, and find the complementary function (CF) and particular integral (PI) systematically.
#CauchyEquation #CauchyEulerEquation #HigherOrderDifferentialEquation #VTUMathematics3 #VTUBEE301 #VTUBEC301 #EngineeringMathematics #VTUExam2024 #VTUQuestions #MathsForEngineers #Type1DifferentialEquation #VTUSolvedPaper
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Video Information
Views
39
Likes
3
Duration
15:10
Published
Nov 2, 2025
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