‹ Back to the paper
Solve the following.
Solve the differential equation: (dy)/(dx) = 2^(-y)
Solve the differential equation:
$\frac{dy}{dx} = 2^{-y}$
Answer
Answer
$\frac{dy}{dx} = 2^{-y}$
Separating variables: $2^y\,dy = dx$
Integrating: $\frac{2^y}{\ln 2} = x + c$
Hence $2^y = (x + C)\ln 2$.
Final answer: $2^y = (x + C)\ln 2$