The general form of boundary value problems (BVP) can be expressed as follows: Bentuk umum bagi masalah nilai sempadan (

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The General Form Of Boundary Value Problems Bvp Can Be Expressed As Follows Bentuk Umum Bagi Masalah Nilai Sempadan 1 (61.06 KiB) Viewed 7 times

The general form of boundary value problems (BVP) can be expressed as follows: Bentuk umum bagi masalah nilai sempadan (MNS) dapat dinyatakan seperti berikut: y" = f(x,y,y'), a ≤x≤ b, y(a) = a dan y(b) = B. There are some conditions that should be satisfied whether the given BVP (1) is linear/nonlinear and has a unique solution, many solutions or no solution. Please use appropriate theorems to help you to complete the table below. Terdapat beberapa syarat yang harus dipenuhi sama ada MNS (1) diberi adalah linear/tidak linear dan mempunyai penyelesaian yang unik, banyak penyelesaian atau tidak ada penyelesaian. Sila gunakan teorem yang sesuai untuk membantu anda melengkapkan jadual di bawah. BVP MNS (a) 8y"-y' + y + x² = 0, 0<x<2, y(0) = 1, y(2) = 8 (b) y"=√y-yy', 0<x< 1, 3 y(0) = Z' y (1) (c)W" (x) - SW (x) = 2x² +In(x), 0<x<L, W(0) W() = 0, where S, D, q, le R and D# 0. = (1) Linear/Nonlinear Linear/Tak linear Unique/Many/No solutions Unik/Banyak/Tiada penyelesaian