# the integral limit at ode with integration factor

#### almi23

##### New member
The lower limit is chosen arbitrarily. Changing it to , say, $$\displaystyle x_0$$, would just add a constant (the integral from 1 to $$\displaystyle x_0$$) times $$\displaystyle e^t$$ which would then become part of the first "$$\displaystyle c_1e^t$$". The upper limit is, of course, the variable, t.