Is $y = - \ln \left( e ^ { - x } - \frac { 15 } { 4 } \right)$

question 132

True/False

Is $y = - \ln \left( e ^ { - x } - \frac { 15 } { 4 } \right)$ the solution to the differential equation $\frac { d y } { d x } = e ^ { y - x }$ with $y ( \ln 4 ) = - \ln 4$ ?

---

Definitions:

Chief Executive Officer

The highest-ranking executive in a company, responsible for making major corporate decisions.

Capital Expenditures Budget

A budget detailing the planned investments in fixed assets, such as machinery, equipment, or buildings, intended to benefit the company over a long period.

Master Budget

A comprehensive financial plan made up of several smaller, specific budgets that detail a company's projections for future periods.

Long-Term Financial Plans

Strategies and financial goals set by a business or individual for a period extending beyond one year.