Find Laplace transform /Laplace inverse of the given problems 6s – 4 s' + 4s – 12 6s- 4 s +4s+ 20 1 e 2s s? + 3s+ 2 dx dx 2- 2 + 3x = 0 dt x(0) = 1, (0) = 0 %3D dt2 dt dx 4– + 4x = 0 dt dx æ(1) = 0,...


Find Laplace transform /Laplace inverse of the given problems<br>6s – 4<br>s' + 4s – 12<br>6s- 4<br>s +4s+ 20<br>1<br>e 2s<br>s? + 3s+ 2<br>dx<br>dx<br>2-<br>2 + 3x = 0<br>dt<br>x(0) = 1,<br>(0) = 0<br>%3D<br>dt2<br>dt<br>dx<br>4– + 4x = 0<br>dt<br>dx<br>æ(1) = 0,<br>-(1) = 2<br>dt<br>-<br>dt2<br>dx<br>+ 16x = 1 + 2 sin 4t<br>dt2<br>dx<br>x(0) = 0,<br>(0) = 0<br>dt<br>

Extracted text: Find Laplace transform /Laplace inverse of the given problems 6s – 4 s' + 4s – 12 6s- 4 s +4s+ 20 1 e 2s s? + 3s+ 2 dx dx 2- 2 + 3x = 0 dt x(0) = 1, (0) = 0 %3D dt2 dt dx 4– + 4x = 0 dt dx æ(1) = 0, -(1) = 2 dt - dt2 dx + 16x = 1 + 2 sin 4t dt2 dx x(0) = 0, (0) = 0 dt
s* + 3s + 2<br>d²x<br>2-<br>dt2<br>dx<br>2- + 3x = 0<br>dt<br>dx<br>x(0) = 1,<br>(0) = 0<br>dt<br>d.x<br>dx<br>

Extracted text: s* + 3s + 2 d²x 2- dt2 dx 2- + 3x = 0 dt dx x(0) = 1, (0) = 0 dt d.x dx

Jun 04, 2022
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