4y'' − 9y' = 0
when i do this, i get c1+c2e^(9/4). in the back of the book it says c1e^((3/2)t)+c2*e^((-3/2)t) I am unsure how to arrive at this answer. Is it changing the integrating factor or what we sub y for? Thanks in advance 🙂
#find a general solution to the second order linear differential equation
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fading python
i think you meant e^{9t/4} instead of e^{9/4}
from what i see, t |--> exp(3t/2) is not a solution to that ODE, while yours is (just testing if it satisfies the equation directly)
so i think your answer is correct and the book's isn't
u can test directly just to confirm
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i did mean that, thanks for helping