I have the following system of differential equations and i have no clue how to go about solving it. I know in situations where the system is linear/homogeneous one can simply use substitutions or use eigenvalues to solve such a system. How should i approach this problem?
w' = -2kw^2 -kwx -kwy &
x' = kw^2 -kwx &
y' = kwx-kwy &
z ' = kwy
Where w, x , y , and z are variables and k is a constant.
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by Jamie Samuel 3 hours ago