49. The temperature of a solid at time \( t \geq 0 \) is modeled by the nonconstant function \( H \) and increases according to the differential equation \[
\frac{dH}{dt} = 2H + 1,
\] where \( H(t) \) is measured in degrees Fahrenheit and \( t \) is measured in hours. Which of the following must be true?
