Linear Differential Equations у'+ P(x)у %3D f(х), eS poydxy + eS pxdx p(x)y = el PCx»dx f(x), d p(x)dx. dx el peondiy = | el ponds f(x) dx + C, y = e¯S px»dx, 'f(x) dx + 4. Solve the initial value problem

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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Linear Differential Equations
y' + p(x)y = f(x),
es podzy + eS porndx
*p(x)y = eJ p(xdx fƒ(x),
d
| p(x)d
*f(x),
eS pendiy = | el monds f(x) dx + C,
y = e¯Spx»dx
'el menda f(x) dx + C).
4. Solve the initial value problem
У - ху — х
y(0) = 3
Transcribed Image Text:Linear Differential Equations y' + p(x)y = f(x), es podzy + eS porndx *p(x)y = eJ p(xdx fƒ(x), d | p(x)d *f(x), eS pendiy = | el monds f(x) dx + C, y = e¯Spx»dx 'el menda f(x) dx + C). 4. Solve the initial value problem У - ху — х y(0) = 3
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