- FIND THE GENERAL SOLUTION TO THE DE: Yâ€â€™ + 4Y†– Y’ –4Y = 0
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- COMPUTE:              L {7 e 3t – 5 cos ( 2t ) – 4 t 2}               Â
- COMPUTE:             L – 1 {(3s + 6 ) / [ s ( s 2 + s – 6 ) ]}          Â
- SOLVE THE INITIAL VALUE PROBLEM USING LAPLACETRANSFORMS:Â Â Â Â Â Â Â Â Â Â Â Â Â
- Y†+ 6Y’ + 5Y = 12 e t      WHEN :  f ( 0 ) = -1, AND f ‘ ( 0 ) =7.                                                                                                                                 Â
SOLVE THE SYSTEM USING LAPLACETRANSFORMS:   X’ – X – Y = 1,   AND:  – X + Y’ – Y = 0, WHEN:  X = f ( 0 ) = 0,AND: Y = g ( 0 ) = - ( 5 / 2)  Â
