Practice problem
Find the particular solution to f′′(x)=12(ex+e−x)f^{''}(x)=\frac{1}{2}(e^x+e^{-x})f′′(x)=21(ex+e−x) given that f(0)=1f(0)=1f(0)=1 and f′(0)=0f^{'}(0)=0f′(0)=0.
f(x)=12(ex+e−x)f(x)=\frac{1}{2}(e^x+e^{-x})f(x)=21(ex+e−x)
f(x)=ex+e−xf(x)=e^x+e^{-x}f(x)=ex+e−x
f(x)=e−x−exf(x)=e^{-x}-e^xf(x)=e−x−ex
f(x)=12(ex−e−x)f(x)=\frac{1}{2}(e^x-e^{-x})f(x)=21(ex−e−x)
Type a concept, like “slope” or “photosynthesis”.