What is First order differential: Definition and 103 Discussions
In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and the derivatives of those functions. The term ordinary is used in contrast with the term partial differential equation which may be with respect to more than one independent variable.
How i can solve a system of 6 first order differential equations by using numerical techniques like Euler method, RK-4th order method , ODE -45 etc.How i can solve a system of 6 first order differential equations by using numerical techniques like Euler method, RK-4th order method , ODE -45 etc.
I thought the general solution of the linear first order differential equation
y ^{\prime} + p(t)y = g(t), \qquad y\left( t_0 \right) = y_0
were
y = \frac{1}{\mu (t)} \left[ \int \mu (s) g(s) \: ds + \mathrm{C} \right],
where
\mu (t) = \exp \int p(s) \: ds
However, I have found...
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