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Determine the solution to the initial value differential equation y'+ 3 y = 4 x y(0) = 3 y (x)=

Determine the solution to the initial value differential equation y'+ 3 y = 4 x y(0) = 3 y (x)=

Calculus: Early Transcendentals
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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Determine the solution to the initial value differential equation y'+ 3 y = 4 x y (0) = 3 y (x) =|
Transcribed Image Text:Determine the solution to the initial value differential equation y'+ 3 y = 4 x y (0) = 3 y (x) =|
Expert Solution
Step 1

First order differential equation :

Consider the first order differential equations                      dydx +P(x) y=Q(x)                        ........................(1)Then, the Integrating Factor, I.F =e∫P(x) dxand its solution is                    y(I.F) = ∫(I.F)Q(x) dx +C , where , 'C' is an integration constant.

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