solving second order differential equation using ode45

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Allen Li
Allen Li 2021-11-18
编辑： Jan 2021-11-18
so the equation is like y'' + (y^2 - 1)y' + y=0, with y'(0) = -1, y(0) = 0.1, and span of t is 0 to 30, step by 0.5, how do I initialized the point and using ode45 to solve the second order equation?

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Jan
Jan 2021-11-18
编辑：Jan 2021-11-18
Convert the 2nd order equation into a set of 1st order equations:
dy(1) = y(2);
dy(2) = (1 - y(1)^2) * y(2) - y(1);
See: https://en.wikipedia.org/wiki/Ordinary_differential_equation#Reduction_to_a_first-order_system

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