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Find the general solution: 9y''-12y'+4y=0
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\[9m^2-12m+4=0\]
can u factorize this polynomial ?
(3m+2)(3m+2)
@mustafa2014
ok
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(3m-2)(3m-2)=0
minus not plus
3m=2 >>> m=2/3 , m=2/3
\[y _{c}=C _{1}+xC _{2}e ^{mx}\]
y = C1+xC2e^(2/3)x ?
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Yep
wait
\[y _{c}=C _{1}e ^{mx}+xC _{2}e ^{mx}\]
C1 times e^mx
y=C1e^(2/3)x + xC2e^(2/3)x
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correct :)
Thank you, can we do another?
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