GATE_MA 2026 | Solving IVPs With UNIT Impulse Functions | ODE | Q 40 | Sol Discussed by Prof KSN OU

Join this channel to get access to perks:    / @profksatyanarayanamathou   #profksatyanarayanaou #gatemathematics #gatema2026 #ode #initialvalueproblem #impulsefunction #Mathematics #LaplaceTransform #DiracDeltaFunction #DifferentialEquations #GATEMathematics #EngineeringMathematics #HeavisideFunction #CSIRNET #MathematicalSciences #GATEMathematics #Mathematics #ProfKSatyanarayana OU Keywords: ,ODE, Initial Value Problem, Unit Impulse Function, Dirac Delta Function, Heaviside Step Function, First shifting Theorem, Q 40, GATE MA 2026, CSIR NET Maths, The solution of a problem related to Solving IVPs With UNIT Impulse Functions by Laplace Transform Method from the section ODE, that appeared in GATE _MA 2026 (Q 40), is discussed in detail. In this video, we solve an initial value problem involving the Dirac Delta (Impulse) Function using Laplace Transforms. The problem illustrates the powerful application of: ✔ Dirac Delta Function ✔ Heaviside Step Function ✔ Laplace Transform of Delta Function ✔ Second Shifting Theorem ✔ Linear Differential Equations ✔ Initial Value Problems (IVPs) We derive the complete solution step-by-step, clearly stating every theorem and transform used. The video also explains the connection between the Dirac Delta Function and the Heaviside Step Function, an important concept in Differential Equations, Engineering Mathematics, and GATE Mathematics. Topics Covered Dirac Delta Function Heaviside Step Function Laplace Transform Techniques Second Shifting Theorem Initial Value Problems Linear Differential Equations Impulse Response GATE Mathematics Preparation MSc Mathematics Entrance Examinations Suitable for: CSIR-NET Mathematical Sciences GATE Mathematics IIT JAM Mathematics M.Sc. Complex Analysis Courses University Examinations The solution is given by Prof K Satyanarayana OU If you find the discussion useful, please Like, Share and Subscribe for more videos on Complex Analysis and Mathematical Sciences. Chapters: 00:00:00 Intro 00:00:59 Q 40 Statement, Solving by Laplace Transform Method 00:07:10 Solution (contd...), Answer: Option (B)