Achemical substanceAchanges into substanceB at a rate times the amount of A present. Substance B changes

Achemical substanceAchanges into substanceB at a rate α times the amount of A present. Substance B changes into C at a rate β times the amount of B present. If initially only substance A is present and its amount is M, show that the amount of C present at time t is M +M

βe−αt − αe−βt

α − β

.