## Solve the system x’=4x-2xy; y’=-3y+3xy; with initial condition varying in the rectangle [0,7]X[0,7]. Use at least five different points.

### Jenn (view profile)

on 9 Oct 2013
Latest activity Commented on by sixwwwwww

### sixwwwwww (view profile)

on 10 Oct 2013

Can someone please help me with this, I am new using the program and I really do not know what to do,

Walter Roberson

### Walter Roberson (view profile)

on 10 Oct 2013

Nasty little system, not very tractable to analysis.

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### sixwwwwww (view profile)

on 10 Oct 2013
Edited by sixwwwwww

### sixwwwwww (view profile)

on 10 Oct 2013

I will come back to it soon

sixwwwwww

### sixwwwwww (view profile)

on 10 Oct 2013

But for different initial conditions we will have different integration constants values. Then it should work

Walter Roberson

### Walter Roberson (view profile)

on 10 Oct 2013

Even with specific boundary conditions, the integrals along the way have the singularity at x = 0 or y = 0

sixwwwwww

### sixwwwwww (view profile)

on 10 Oct 2013

Probably you are right it's not easy to solve it directly. Thanks for correction

### Walter Roberson (view profile)

on 10 Oct 2013

Hint: for

x' = 2*x^3 + sin(x)     %random example

you would code

fun = @(x) 2 * x.^3 + sin(x);
ode45(fun, [StartTime, EndTime], [InitialX, InitialY])

such as

ode45(fun, [0 20], [3 7])

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