3. Find the general solution of the following homogeneous equation with constant coefficient. a. 2y" - 12y + 18y = 0 arx b. ៨. - dts dt² c. 12 - 4x = 0 yv7y" - - 117 - 18y = 0 !!! 10 11

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3.
Find the general solution of the following homogeneous equation with constant coefficient.
a. 2y" 12y + 18y = 0
arx
b.
dx
4x = 0
dts
-
-
dt²
c. yv7y" - 18y = 0
d. yv + 5yv - 2y" - 10y"+y' + 5y = 0
Transcribed Image Text:3. Find the general solution of the following homogeneous equation with constant coefficient. a. 2y" 12y + 18y = 0 arx b. dx 4x = 0 dts - - dt² c. yv7y" - 18y = 0 d. yv + 5yv - 2y" - 10y"+y' + 5y = 0
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