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

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 $y = \pm \sqrt { t ^ { 2 } + 2 e ^ { t } + C } ?$