Solving PDE: Finding a General Solution

y_fotsing
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I am trying to solve this partial differential equation

\frac{\partial^2 \rho (x)}{\partial x^2} + (ax+b)\frac{\partial \rho (x)}{\partial x} + c \rho (x) = const

a, b and c are constant value.
Could someone give me a general solution of this king of ode?
Thanks in advance.
 
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Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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