The Solution Of $y ^ { \prime \prime } - 4 y ^ { \prime } + 20 y = 0$

question 38

Multiple Choice

The solution of $y ^ { \prime \prime } - 4 y ^ { \prime } + 20 y = 0$ is

• A) \(y = c _ { 1 } e ^ { - 2 x } \cos ( 4 x ) + c _ { 2 } e ^ { - 2 x } \sin ( 4 x )\)
• B) \(y = c _ { 1 } e ^ { - 2 x } \cos ( 4 x ) + c _ { 2 } e ^ { 2 x } \sin ( 4 x )\)
• C) \(y = c _ { 1 } e ^ { 2 x } \cos ( 4 x ) + c _ { 2 } e ^ { 2 x } \sin ( 4 x )\)
• D) \(y = c _ { 1 } e ^ { 2 x } + c _ { 2 } e ^ { 4 x }\)
• E) \(y = c _ { 1 } \cos ( 4 x ) + c _ { 2 } \sin ( 4 x )\)

---

Definitions:

Customization

The process of modifying products, services, or systems to meet specific customer needs or preferences.

Mobility

The ability of technology, services, or workers to be moved or accessed from different locations, enhancing flexibility and connectivity.

RFID Tag

A technology that uses electromagnetic fields to automatically identify and track tags attached to objects, containing electronically stored information.

RFID

Radio Frequency Identification, a technology used to transmit data wirelessly using electromagnetic fields to identify and track tags attached to objects.