# Solving coupled ODEs via ode45

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Seymen el 2 de Mzo. de 2024
Respondida: Sulaymon Eshkabilov el 3 de Mzo. de 2024
Hello,
I have 2 secound order and coupled ordinary differential equations. For the first equation, I could find an explicit solution, i.e. d^2y/dt^2=.....
However, for the second equation, I could not find an explicit solution. Therefore, I couldn't use ode45 etc. How can I solve these equations numerically?
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Torsten el 2 de Mzo. de 2024
ode45 can solve first-order initial value problems. Thus your equations must be of the form dy/dt = f(t,y).
If you have a second-order differential equation
d^2y/dt^2 = g(t,y,dy/dt)
, it can be written as two first-order differential equations by putting
z(1) = y, z(2) = dy/dt
dz(1)/dt = z(2)
dz(2)/dt = g(t,z(1),z(2))
Steven Lord el 2 de Mzo. de 2024
Can you show us the form of the differential equations that you do know? If you show us the mathematical equations we may be able to help you translate them into MATLAB code.

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### Respuestas (1)

Sulaymon Eshkabilov el 3 de Mzo. de 2024
If your equation is implicit then, ode15i might be the tool to use.
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