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I'm desperately trying to find the solution of this simple ODE: $$\frac{dx}{dt}= C +\frac{x-a_1}{b_1} + \frac{x-a_2}{b_2} $$

Where C is a constant. Someone has a clue?

Thanks for the feedback already: Ok some more info: I think I can solve this by substituting $x$ by $e^{t}$. In that case I get:

$$ e^t = C+\frac{e^t-a_1}{b_1} + \frac{e^t-a_2}{b_2}$$ But now I'm stuck. Does it mean x is just: $$ x (1-1/b_1 -1/b_2)= (C-a_1/b_a -a_2/b_2) $$ But then it is no longer depending on t... Iḿ doing something wrong here

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    Welcome to math,SE. What do you find difficult in the question?? Have you tries separating the variables??2012-10-13

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