Math Help - Difficult Dif EQ

1. Difficult Dif EQ

Given $y'' - 2y' = 0$

1.) Write down what the equivalent system of 1st order linear ODE's is.

2.) Determine the general solution for the system you found in 1.

3.) Using the auxiliary equation method, how does this method (solving the 2nd order dif eq) agree with the method in 2?

2. Originally Posted by caeder012
Given $y'' - 2y' = 0$

1.) Write down what the equivalent system of 1st order linear ODE's is.

2.) Determine the general solution for the system you found in 1.

3.) Using the auxiliary equation method, how does this method (solving the 2nd order dif eq) agree with the method in 2?
Let $z=y'$ to give, $z' - 2z = 0$.