- #1
fred_91
- 39
- 0
Homework Statement
Hello everyone.
I have differential system consists of:
[itex]\frac{dx_1}{dt}=x_1(1-2x_1+x_2)[/itex]
[itex]\frac{dx_2}{dt}=3*x_2(x_1-x_2)[/itex]
I want to change variable using:
[itex]x_i=a_iz_i[/itex]
i=1,2
where z is a unit vector
and rewrite the differential equations
Homework Equations
The Attempt at a Solution
For the first equation:
[itex]a_1\frac{dz_1}{dt}=a_1 z_1(1-2a_1 z_1+a_2 z_2)[/itex]
[itex]a_2\frac{dz_2}{dt}=3*a_2 z_2(a_1 z_1-a_2 z_2)[/itex]
Is this correct?
I didn't use the part where it say: z is unit vector.
Thanks a lot.