**Using the Power Series Method for Differential Equations**To solve the following problems, we will employ the power series method to find a general solution for each differential equation.5. **Problem 5.1.2.17:** \[ y'' - 3xy = 0 \]6. **Problem 5.1.2.23:** \[ (x - 1)y'' + y' = 0 \]

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Use the power series method to find a general solution to the next two problems. 5. Problem 5.1.2.17: y" – 3xy = 0

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

**Using the Power Series Method for Differential Equations**

To solve the following problems, we will employ the power series method to find a general solution for each differential equation.

5. **Problem 5.1.2.17:**
\[
y'' - 3xy = 0
\]

6. **Problem 5.1.2.23:**
\[
(x - 1)y'' + y' = 0
\]

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