8.2.2.12 Systems of Differential Equations

Condition: Find a private solution to the system of differential equations, satisfying the specified initial conditions. Solve the system by operating calculation. \ [\ left \ {\ begin {array} {l} \ frac {d x} {d t}+\ frac {d y} {d t} +4 y+4 x = 0 \\ \ frac {d t} +5 \ frac {d y} {d y} T} +28 Y = 0 \ END {Array}, \ Quad X (0) = 1, \ Quad Y (0) = 2 \ Right. \]