solve the languid isotherm differential equation

I de The General Equation is: KaC(1-0) - Kde dt KaC And the exact solution you are after is: et e(t) 1 KaC+Kd 1 the time constant ist = kaCKd -e] and The equation came out a little weird there in the kodiak equation editor. This is a 1st order, non-homogeneous, non-separable diff eq. Here the easiest way! can think of to solve it: first separate terms to get all of the thetas on one side. Then solve the homogeneous equation by setting the right ride (non theta part) to zero. Retain your integration constant. Next do the particular solution. Then add the Homogeneous and Particular solutions together. Last use your initial conditions to find your constant of integration. Don't confuse C the integration constant with C that stands for concentration