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**How to deal with homogenous differential equation system??**

## Homework Statement

s'[t] == (-3 s[t])/580, m'[t] == (-19 m[t])/590,

h'[t] == (3 s[t])/580 + (19 m[t])/590 - (2 h[t])/25,

e'[t] == (2 h[t])/25 - (85 e[t])/116,

o'[t] == (85 e[t])/116 - (33 o[t])/131

## Homework Equations

it is a system to clean the Great lake that five lakes linked together

## The Attempt at a Solution

and I know that the solution for s and m are 2900*E^(-3 t/580) and 1180*E^(-19 t/590)

as s[0]=2900, m[0]=1180. and h[0]=850, e[0]=116, o[0]=393

I really want someone can tell me any math software can work with this or any way to do it