In the next four problems, show that the given functions form a solution of the system. De- termine the largest interval

[answerhappygod]

In the next four problems, show that the given functions form a
solution of the system. De- termine the largest interval of the
independent variable over which the solution is defined, and
satisfies the equations.
21. System:𝑥′ =𝑥+3𝑦,𝑦′ =4𝑥+2𝑦,solutionis𝑥=3𝑒5𝑡 +𝑒−2𝑡,𝑦=4𝑒5𝑡
−𝑒−2𝑡.