Is $H = C e ^ { t ^ { 2 } } / 2 - 4 t$ the general solution to the differential equation $\frac { d H } { d t } = - 2 H + t H$ ?

Question

Quizplus · Accepted Answer

The given differential equation is a first-order non-linear differential equation, and the provided function $H = C e ^ { t ^ { 2 } } / 2 - 4 t$ does not satisfy the given differential equation when differentiated and substituted back into the equation.

Is H=Cet2/2−4tH = C e ^ { t ^ { 2 } } / 2 - 4 tH=Cet2/2−4t

Is $H = C e ^ { t ^ { 2 } } / 2 - 4 t$