Question: please answer part A and Part C only. 3.13 Find the complete time-domain solutions for the following differential equations using Laplace transforms: (a) dt3d3x+4x=e with

please answer part A and Part C only.

3.13 Find the complete time-domain solutions for the following differential equations using Laplace transforms: (a) dt3d3x+4x=e with x(0)=0,dtdx(0)=0, dt2d2x(0)=0 (b) dtdx12x=sin3tx(0)=0 (c) dt2d2x+6dtdx+25x=etx(0)=0,dtdx(0)=0 (d) A process is described by two differential equations: dtdy1+y2=x1dtdy22y1+3y2=2x2 If x1=et and x2=0, what can you say about the form of the solution for y1 ? for y2

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