particular part of non-linear second order ODE

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I ma trying to find a solution for the following ODE:

$$y''+p y'+q y=r y^{2},$$

where prime depicts the derivative with respect to $x$ and $p$, $q$ and $r$ are constant. The left side of the equation is the linear and can be found as a general solution

$$y=c_{1}e^{m_{1}x}+c_{2}e^{m_{2}x},$$

but i don't know how can I specify a function corresponding to the right side to find the particular solution.