An Example of a Regular Sturm-Liouville Problem Is $y ^ { \prime \prime } + \lambda y = 0$

question 40

Multiple Choice

An example of a regular Sturm-Liouville problem is $y ^ { \prime \prime } + \lambda y = 0$ with boundary conditions Select all that apply.

• A) \(y ( 0 ) + y ^ { \prime } ( 1 ) = 0 , y ( 1 ) = 0\)
• B) \(y ( 0 ) = 0 , y ^ { \prime } ( 1 ) = 0\)
• C) \(y ( 1 ) = 0 , y ^ { \prime } ( 1 ) = 0\)
• D) \(y ^ { \prime } ( 0 ) = 0 , y ( 1 ) + y ^ { \prime } ( 1 ) = 0\)
• E) \(y\) is bounded on \([ - 1,1 ]\)

---

Definitions:

Inches Hg

A unit of pressure measurement equivalent to inches of mercury, commonly used in aviation and weather forecasting.

Fluids

Substances that have no fixed shape and yield easily to external pressure; can be liquids, gases, or plasmas.

Gases

Substances that exist in the gaseous state under standard conditions of temperature and pressure, often used as fuel, in industrial processes, or in refrigeration systems.

Liquids

Fluid substances that flow freely, have a consistent volume under standard conditions, and adapt to the shape of their containers.