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dy c) 3e³-y+3(xe³ +1)=0,y(0)=1. dx

dy c) 3e³-y+3(xe³ +1)=0,y(0)=1. dx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question 1**: Find the general solution for equations a) and b) and the particular solution for equation c).
Transcribed Image Text:**Question 1**: Find the general solution for equations a) and b) and the particular solution for equation c).
The text in the image is a mathematical expression. It reads: \( c) \quad 3e^{\frac{x}{x-y}} - y + 3(xe^{\frac{x}{x-y}} + 1) \frac{dy}{dx} = 0, \; y(0) = 1. \) This is a differential equation with an initial condition. The equation involves exponential terms and is solved for the derivative \(\frac{dy}{dx}\). The initial condition \(y(0) = 1\) specifies the value of the function \(y\) when \(x = 0\).
Transcribed Image Text:The text in the image is a mathematical expression. It reads: \( c) \quad 3e^{\frac{x}{x-y}} - y + 3(xe^{\frac{x}{x-y}} + 1) \frac{dy}{dx} = 0, \; y(0) = 1. \) This is a differential equation with an initial condition. The equation involves exponential terms and is solved for the derivative \(\frac{dy}{dx}\). The initial condition \(y(0) = 1\) specifies the value of the function \(y\) when \(x = 0\).
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