8.3.32 Systems of Ordinary Differential Equations

Condition: Solve the Koshi problem: \ [\ left \ {\ begin {array} {l} \ dot {x} = 2 x+3 y \\ \ dot {y} = 3 x+2 y \ end {arry}, \ quad X (0) = 1, \ quadad y (0) =-1 \ right. \]