Integrating a Separable Differential Equation

Question

A nonconstant function $$H(t)$$ models the temperature of a solid in degrees Fahrenheit for time $$t \geq 0$$ in hours. The temperature changes at a rate given by the differential equation $$\dfrac{dH}{dt} = 2H + 1$$. Which of the following equations must be true?

Accepted Answer

$$\ln |2H + 1| = 2t + C$$

Answer

$$\ln |2H + 1| = t + C$$

Answer

$$\ln |2H + 1| = \dfrac{t}{2} + C$$

Answer

$$H = H^2 + t + C$$

Integrating a Separable Differential Equation

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