Subjects/Calculus II/Elementary differential equations/Exponential growth and decaySection 16.2Exponential growth and decayFormulaCopy LaTeXdtdy=ky⟹y(t)=y0ekt.⟹y(t)=y0ekt.View detail →k>0: growth.k<0: decay.Half-life for k<0:Copy LaTeXt1/2=∣k∣ln2.View detail →