Combine the Terms Y And $y ^ { \prime }$ Into the Derivative of a Product, Then Solve the Equation

True/False

Combine the terms y and $y ^ { \prime }$ into the derivative of a product, then solve the equation. $\mathrm { e } ^ { 3 \mathrm { t } ^ { 2 } } \mathrm { y } ^ { \prime } + 6 \mathrm { te } ^ { 3 \mathrm { t } ^ { 2 } } \mathrm { y } = \frac { 5 \sqrt { \mathrm { t } } } { 4 }$ . Is this the solution: $y = \frac { 5 } { 6 } t ^ { 3 / 2 } e ^ { - 3 t ^ { 2 } } + C e ^ { - 3 t ^ { 2 } } ?$