A First Course in Differential Equations

Consider the initial-value problem y’ = 2x – 3y + 1, y(1) = 5. The analytic solution is (a) Find […]

Repeat Problem 16 using the initial-value problem y’ = -2y + x, y(0) = 1. The analytic solution is Problem

Consider the initial-value problem y” = x2 + y3, y(1) = 1. See Problem 12 in Exercises 9.1. (a) Compare

Repeat Problem 15 using the improved Euler’s method. Its global truncation error is O(h2). Problem 15 Repeat Problem 13 using

Repeat Problem 13 using the initial-value problem y’ = x – 2y, y(0) = 1. The analytic solution is Problem

The RK4 method for solving an initial-value problem over an interval [a, b] results in a finite set of points

A square matrix A is said to be a diagonal matrix if all its entries off the main diagonal are