write a differential equation equivalent to a chemical decom
write a differential equation equivalent to:\" a chemical decomposition proceeds at a rate equal to the square of the amount of the chemical present\"
Solution
let dA/dt be the rate at which the chemical \'A\' decomposes, and so we can make a differential equation: dA/dt = -A^2 ** negative sign is because it is a decomposition, the function is decreasing. Now if u needed to SOLVE that, it would be quite simple, separate variables and integrate. dA/(A^2) = -dt -1/A = -t + C1 Where C1 is an arbitrary constant A = 1/(t + C1)