Solve a differential equation sytem. Eulers method

  • Thread starter prehisto
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  • #1
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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 im 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


Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
I like Serena
Homework Helper
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176

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 im 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! :smile:

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