Math2320 -7.1.7.2 Name Lab 1) Find I 1 t2"3t 1 A);+ , { l8 A) 3) Find G-3)3 t2sin(3t) } s2 -54 G2- D)r+ (.'- 3)' ) D, [s-r- 2) Find 7 B) eI ry'2 .14 [s2* eJr ^. I \\- 30 s2-s+ -) rn \\? [s'+ 9/- ,6#! t'[+\\ ^ /-. -'..L*J ^\\ !p\\ I A)+ \ t \\, B) 3t i ,2 plT ^t ; L) J \\----l 4)Find,,{d=fu} 7et A)-:-2ti-*-r- 3e-t 70t le_t O-5*,r-;-i B)5-2t D)5-21 ry.+ .+r+ 5)Findr'ffi1 .. cos3t-3tcos3t A)-_----=_- 6) Find cos 3t - 3t cos 3t c) sin 3t - 3t cos 3t r,{A-r,r'E} . lrsin 4t n)__T^ B) -, 1-sin4t "l- to D)1:#s 1 -cos 4t - ------lo C) 7) Use the meihod of Laplace transforms to soh,e the initial value problem lY" i - qv'+ 41'= 665 I y(0) = - t LY'(ol = z 8) Use the method of Laplace transforms to solve the initial value problem [r" -r' - 2v i I y(Ol = LY'(o) = + :4t2