Output signal in certain automation object is described by differential equation 2·x"+3·x'+x=4. Output signal function has start conditions x(0)=1 and x'(0)=1. Differential equation which describes output signal will be solved with Laplace transform. After transformation output signal to Laplace from, it was smashed to simple fractions. Originals of simple fractions transformations will be designated. Heaviside's formulas will be used to calculate factors of simple fractions originals.