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Find two linearly independent solutions of the 2nd-order linear homogeneous differential equation y _ 4y! + 29y = O The linearly independent solutions are where
Find two linearly independent solutions of the 2nd-order linear homogeneous differential equation y\" _ 4y! + 29y = O The linearly independent solutions are where ['1- and "2 are arbitrary constants (Note:Let 1\"'11 and \"12 be two solutions of the auxiliary (characteristic) equation. (i) If \"*1 '1 \"12, write 111 = Cm]: and 92 = (my; (ii) If "'1 = "12, write 91 = Em\" and H2 =-1-\"l"ml1; and (iii) If m1 = 11+ bi! and \"12 = n. bi! write 1;] = (\"'1' ('US [b.rl and y? = ("H Sill [b.r_l_)
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