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## Homework Statement

dx/dt=x+y

dy/dt=-y+8x

Solve this system useing Eulers method or by elimination method.

## Homework Equations

Eulers method

I know that in general I should look for solution in form

y=const*exp[kx]

z=const2*exp[kx]

But in my case I am not sure if i can write x=const*exp[kx],because of x in exp.

Could someone help me please, maybe show me some first steps ?