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Problem ODE-6, MECH 3023, Summer 2019 Solve the following differential equation to find x(t) 2+ 26x 26(1-cos 2t), with x(0) 0

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(ANS) 26 (1-Co52t) 2Y26 : - (0) (0) laplace fon o on both sides 26 X(5) 2 xC5)- SXCO) - X (0)2 (SXC)-XO)) 26XS 26 32+4 26 26526 265 (C)A sCs23+26) (62+4) (4226) By Lapace Jnvenoe 265 2 6 s XCt) 1 34)242) S(s225+26 26 S+) SI 25+26) 6 5 6t)2+25 .et (co265 S+1 1- b€ 61245 25 143L G425 S2+4542326) 25 + 143 L 52 125 -t 143 p(3 5t 39 t sin (5t) 3 cas(2t) 25 .... 25 25 Sin c2t) 2Ovesnall 1.e Cco 5t) -t sin(5t)) e 143 x(t) COS5t 125 5in 5t J25 143 Co2t 26 sin 25 125 0.112 in 5t) 0.208 5in2t e (0.144 ca5plzzzz rate it...................

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