$\text { Find the particular solution of the differential equation } \frac { d r } { d s } = e ^ { y - 7 s } \text { that satisfies the }$

question 22

Multiple Choice

$\text { Find the particular solution of the differential equation } \frac { d r } { d s } = e ^ { y - 7 s } \text { that satisfies the }$ initial condition $r ( 0 ) = 0$ .

• A) \(r = \ln \left( 7 + e ^ { - 7 s } \right) + C\)
• B) \(r = \ln ( 7 ) - \ln \left( 6 + e ^ { - 7 s } \right)\)
• C) \(r = e ^ { \gamma - 7 s }\)
• D)\(r = \ln \left( \frac { 8 + e ^ { - 7 s } } { 7 } \right)\)
• E)\(r = \left( 1 + e ^ { - 7 s } \right) ^ { 7 }\)

---

Definitions:

FDA

The Food and Drug Administration, an agency within the U.S. Department of Health and Human Services responsible for ensuring the safety and efficacy of human and veterinary drugs, biological products, medical devices, food, cosmetics, and products that emit radiation.

Charitable Deduction

A tax deduction that allows taxpayers to deduct donations made to qualified charitable organizations from their taxable income.

Tangible Personal Property

Physical items owned by an individual or business that can be seen, touched, and moved, excluding real estate.

Exception

A provision in tax law or regulation that allows individuals or entities to be exempt from the usual application of a rule under specified conditions.