IVP to Volterra integral Equation example 2

Conversion of Initial value problem (IVP) to Volterra integral equation Another Example 1 on this topic:-    • Convert IVP to Volterra Integral Equation 1   Next Video (Adomian Decomposition method) To find the solution of non homogeneous FIE of 2nd kind :-    • What is Adomian Decomposition method, Exam...   Previous Video ( Multi integral to single integral) :    • Multiple integral into single integral   In this section, we will study the method that converts an initial value problem to an equivalent Volterra integral equation. Before outlining the method needed, we wish to recall the useful transformation formula    • Multiple integral into single integral   This technique that will be used to convert an initial value problem to an equivalent Volterra integral equation. LIKE COMMENT SHARE SUBSCRIBE ------------------------------------------------------------- Follow us Insta;- @kulsanketkumar Integral equation Playlist:-    • INTEGRAL EQUATION   ------------------------------------------------------------------ Exercise convert each of the following first order initial value problem to a Volterra integral equation: (1) y′ + y = 0, y(0) = 1 (2) y′ − y = x, y(0) = 0 (3) y′ + y = sec2x, y(0) = 0 convert each of the following initial value problems of higher order to an equivalent Volterra integral equation: (11) y″′ − y″ − y′ + y = 0, y(0) = 2, y′(0) = 0, y″(0) = 2 (12) y″′+ 4y′ = x, y(0) = 0, y′(0) = 0, y″(0) = 1 (13) yiv + 2y″ + y = 3x + 4, y(0) = 0, y′(0) = 0, y″(0) = 1, y″′(0) = 1 (14) yiv − y = 0, y(0) = 1, y′(0) = 0, y″(0) = −1, y″′(0) = 0 (15) yiv + y″ = 2ex, y(0) = 2, y′(0) = 2, y″(0) = 1, y″′(0) = 1 #integralequation #integralequation #initialvalueproblem #ivp #volterraintegralequation #volterra #integralequation #differentialequation #mscmathematics #maths #msc_mathematics #fredholm #volterra