Sove the following equations by the Laplace transform method (D2 + 4D + 8 )y = cos 2x, given that y=2 and dy/dx = 1 at x=0; (D+1)y + Dz = 0, (D-1)y + 2Dz = eX, given that y = and z = 0 at x = 0. %3D 1 %3D (In both cases D = d/dx.)
Sove the following equations by the Laplace transform method (D2 + 4D + 8 )y = cos 2x, given that y=2 and dy/dx = 1 at x=0; (D+1)y + Dz = 0, (D-1)y + 2Dz = eX, given that y = and z = 0 at x = 0. %3D 1 %3D (In both cases D = d/dx.)
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Transcribed Image Text:Save the following equations by the Laplace transform method
(D2 + 4D + 8 )y = cos 2x, given that y=2 and dy/dx = 1 at x=0;
a.
(D+1)y + Dz = 0,
(D-1)y + 2Dz = eX,
given that y =
and z = 0 at x = 0.
(In both cases D = d/dx.)
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