Find the general solution to y" + 8y" + 25y' = 0. In your answer, use c₁, c₂ and c3 to denote arbitrary constants and x the independent variable. Enter the solution as an equation y =?. help (equations)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2.3.4. Ordinary Differential Equations 

**Problem Statement:**

Find the general solution to \( y''' + 8y'' + 25y' = 0 \). In your answer, use \( c_1, c_2, \) and \( c_3 \) to denote arbitrary constants and \( x \) the independent variable. Enter the solution as an equation \( y = ? \).

**Input Box**: 
An area to enter the solution.

**Help Link**: 
A link labeled "help (equations)" to provide additional resources or guidance on solving the equation. 

**Note**: 
No graphs or diagrams are present in the image.
Transcribed Image Text:**Problem Statement:** Find the general solution to \( y''' + 8y'' + 25y' = 0 \). In your answer, use \( c_1, c_2, \) and \( c_3 \) to denote arbitrary constants and \( x \) the independent variable. Enter the solution as an equation \( y = ? \). **Input Box**: An area to enter the solution. **Help Link**: A link labeled "help (equations)" to provide additional resources or guidance on solving the equation. **Note**: No graphs or diagrams are present in the image.
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