One problem related to transmission stuck in gear has been reported for the 2003 Dodge Dakota. The most recently reported issues are listed below.
The day I brought my 2003 Dodge Dakota quad cab home, I noticed a howling noise coming from the rear brakes when in reverse. Took it back to dealer to find out what was the cause and for it to be repaired. Service manager said that the breaks needed to be broken in and then the noise would stop. Took truck back for oil change after 3000 miles and informed service manager that the truck was still making howling noise. Told me there was a service bulletin on this problem and that as soon as the parts came in he would call . I'm still waiting. Also I am having transmission problems. When I am climbing a grade the transmission seems to get stuck in second gear. I have to let off the gas for it to shift. Sometimes the shift is very harsh and at other times it misses a gear altogether. Truck has a hard time maintaining set speed when cruise control is set. Seems to wait too long to shift to bring the truck up to speed.