Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the IVP

The image contains a mathematical expression of a first-order differential equation with an initial condition. It is presented as follows:

\[ y' = ye^t, \quad y(0) = 2e \]

This represents a differential equation where the derivative of \( y \) with respect to \( t \), denoted \( y' \), is equal to the product of \( y \) and the exponential function \( e^t \). The initial condition specifies that when \( t = 0 \), the value of \( y \) is \( 2e \).

There are no graphs or diagrams associated with this text.
Transcribed Image Text:The image contains a mathematical expression of a first-order differential equation with an initial condition. It is presented as follows: \[ y' = ye^t, \quad y(0) = 2e \] This represents a differential equation where the derivative of \( y \) with respect to \( t \), denoted \( y' \), is equal to the product of \( y \) and the exponential function \( e^t \). The initial condition specifies that when \( t = 0 \), the value of \( y \) is \( 2e \). There are no graphs or diagrams associated with this text.
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