-1.5r d) A 2nd ODE has basis functions e Find its eigenvalues 2. i) Bonus ii) and Xe -1.5x Find characteristic equation for the ODE in d).

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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Only need help with ii)

The text is about a second-order ordinary differential equation (ODE) with the given basis functions. It includes a primary task and a bonus question:

**d) A 2nd ODE has basis functions** 
\[ e^{-1.5x} \quad \text{and} \quad xe^{-1.5x} \]

**i) Find its eigenvalues \( \lambda \).**

**Bonus:**

**ii) Find the characteristic equation for the ODE in d).**

There are no graphs or diagrams present in the image.
Transcribed Image Text:The text is about a second-order ordinary differential equation (ODE) with the given basis functions. It includes a primary task and a bonus question: **d) A 2nd ODE has basis functions** \[ e^{-1.5x} \quad \text{and} \quad xe^{-1.5x} \] **i) Find its eigenvalues \( \lambda \).** **Bonus:** **ii) Find the characteristic equation for the ODE in d).** There are no graphs or diagrams present in the image.
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