Given the Differential Equation $\frac { \mathrm { dy } } { \mathrm { dt } } = \frac { \mathrm { t } + \mathrm { e } ^ { \mathrm { t } } } { \mathrm { y } } \text {, }$

question 77

True/False

Given the differential equation: $\frac { \mathrm { dy } } { \mathrm { dt } } = \frac { \mathrm { t } + \mathrm { e } ^ { \mathrm { t } } } { \mathrm { y } } \text {, }$ is this the solution $y = \pm \sqrt { t ^ { 2 } + 2 e ^ { t } + C } ?$

---

Definitions:

Unlimited Liability

A legal obligation where business owners are personally responsible for all of the debts of the business.

Cooperatives

A type of organization owned and operated by a group of individuals for their mutual benefit.

Sole Proprietorship

A business owned and operated by a single individual, with no legal distinction between the owner and the business entity.