Solve a differential equation sytem. Eulers method

[prehisto]

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 ?

The Attempt at a Solution

 

[I like Serena]

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 ?

The Attempt at a Solution

Hi prehisto!

Perhaps you can try:
x=const*exp[kt]
y=const2*exp[kt]