3. y" +4y = 0; yıi =cos 2x, y2 = sin 2x; y(0) = 3, y'(0) =8 4. y" + 25y = 0; yı = cos 5x, y2 = sin 5x; y(0) = 10, y'(0) = -10 5. y" – 3y' +2y = 0; y1 = e*, y2 = e2x; y(0) = 1, y'(0) = 0 %3D %3D %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Two functions y1 and y2  and a pair of initial conditions are given. First verify that y1 and y2 are solutions of the differential equation. Then find a particular solution of the form y = c1y1 + c2y2 that satisfies the given initial conditions. Primes denote derivatives with respect to x. 

3. y" +4y = 0; yıi =cos 2x, y2 = sin 2x; y(0) = 3, y'(0) =8
4. y" + 25y = 0; yı = cos 5x, y2 = sin 5x; y(0) = 10,
y'(0) = -10
5. y" – 3y' +2y = 0; y1 = e*, y2 = e2x; y(0) = 1, y'(0) = 0
%3D
%3D
%3D
Transcribed Image Text:3. y" +4y = 0; yıi =cos 2x, y2 = sin 2x; y(0) = 3, y'(0) =8 4. y" + 25y = 0; yı = cos 5x, y2 = sin 5x; y(0) = 10, y'(0) = -10 5. y" – 3y' +2y = 0; y1 = e*, y2 = e2x; y(0) = 1, y'(0) = 0 %3D %3D %3D
25. f(x) = e* sin x, g(x) = ex cos x
Transcribed Image Text:25. f(x) = e* sin x, g(x) = ex cos x
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