Simple ODE need to double check if correct

Can some one tell me if i am correct or completely off

with initial condition

here and are constants.

by substitution

therefore

using condition

the solution is

which can be factored as

is this correct?

**this is in reference to the paper in Malaria Journal Smith et al 2007 'Standardising estimates of the Plasmodium Falciparum parasire rate' this equation is listed on page 3 and i cant recapture their solution**

their solution is

__I must be doing something stupid__

Re: Simple ODE need to double check if correct

In the referenced paper, the solution corresponds to the condition p(0)=0

while your solution corresponds to p(0)=1.

Re: Simple ODE need to double check if correct

Thank you JJacquelin. They have miss specified the initial condition in the paper then.

Thanks for your time and input