Problem$2$: Find the Laplace transform of the function $x(t),$ that satisfies the differential equation & initial conditions $x(0)=x^1(0)=x^{11}(0)=0.d^3\frac{x}{d}{t}^3+4d^2\frac{x}{d}{t}^2+5d\frac{x}{d}t+2x=2.$