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Rapha · #1 November 26th, 2008, 10:41 PM

Hello everyone!

I need to solve a IVP, for example

$\dot{x} = x + 2\dot{y} + y$

$\dot{y} = y - 2\dot{x} + 5x$

x(0) = 0.995
y(0) = 0

(I actually don't know if there is a solution...)

But how to solve it by using ode45? $\dot{x}$ depends on $\dot{y}$ and y ...

By the way,
I know how to solve

$\dot{v}(t) = 10 - 5/2*v^2(t), t\in [0, 10]$

v0 = v(0) = 0

for example:

[ t , v ] = ode45 (@( t , v ) 10-5v^2/2 , [0, 10], v0 ) ;

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How to solve the IVP with 2 equations?

Best regards,
Rapha