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OpenStudy (anonymous):
ODE x= -lnt , y= c1t + c2t^2 -- y''+3y'+2y=0
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ganeshie8 (ganeshie8):
You may start like this \[x = -\ln t \implies t = e^{-x}\] plug this in the next equation
ganeshie8 (ganeshie8):
\[y = c_1e^{-x} + c_2e^{-2x}\] differentiate twice and eliminate constants
OpenStudy (anonymous):
okay i get it
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