Solve the Differential Equation $$\frac { d y } { d x } = e ^ { 5 x - 5 y }$$

question 92

Multiple Choice

Solve the differential equation.
- $$\frac { d y } { d x } = e ^ { 5 x - 5 y }$$

• A) \(y = 5 e ^ { 5 x } + C\)
• B) \(y = 5 \ln \left( e ^ { 5 x } + C \right)\)
• C) \(y = \ln \left( e ^ { 5 x } + C \right)\)
• D) \(y = \frac { 1 } { 5 } \ln \left( e ^ { 5 x } + C \right)\)

---

Definitions:

Hirschsprung Disease

A congenital condition affecting the large intestine's nerve cells, causing difficulty with bowel movements.

Temporary Colostomy

A surgical procedure that creates a temporary opening in the abdomen to divert waste out of the body through the colon.

Psychological Preparation

The process of mentally preparing an individual for an upcoming event, challenge, or procedure to minimize anxiety and improve outcomes.

Loperamide

An over-the-counter medication commonly used to reduce the frequency of diarrhea by slowing down gut movement.