Find the General Solution of the Differential Equation $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { x } + 7$

question 64

Multiple Choice

Find the general solution of the differential equation. $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { x } + 7$
Solve for y as a function of x.

• A) \(y = \ln ( x + 7 ) + 7 x + C\)
• B) \(y = \ln | x | + 7 x + C\)
• C) \(y = \ln | x | + C\)
• D) \(y = - 2 x + C\)
• E) \(y = x + C\)

---

Definitions:

Texas's Secession

The act in 1861 when Texas declared its secession from the United States to join the Confederate States during the American Civil War.

Avoid War

Strategies or policies adopted by countries or leaders to prevent military conflicts through diplomacy, treaties, and other peaceful means.

Upper South

The Upper South traditionally refers to the northern tier of Southern states in the United States, which includes Virginia, Tennessee, Kentucky, and Missouri, characterized by a distinct socioeconomic and cultural identity.

Declaration of Causes

The Declaration of Causes is a document or proclamation issued to explain the reasons for a particular action or decision, often in the context of political or social movements.