"; Find y as a function of x if x?y" + 5æy' – 21y = x°, y(1) = 7, y(1) = -5. y =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem Statement:**

Find \( y \) as a function of \( x \) if 

\[ 
x^2 y'' + 5xy' - 21y = x^9, 
\]

with the initial conditions:

\[ 
y(1) = 7, \quad y'(1) = -5. 
\]

**Solution:**
\[ 
y = 
\] 

(Note: The detailed solution to this differential equation should be solved step by step using appropriate methods.)
Transcribed Image Text:**Problem Statement:** Find \( y \) as a function of \( x \) if \[ x^2 y'' + 5xy' - 21y = x^9, \] with the initial conditions: \[ y(1) = 7, \quad y'(1) = -5. \] **Solution:** \[ y = \] (Note: The detailed solution to this differential equation should be solved step by step using appropriate methods.)
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