Second order differential equation.

I want to convert this second order diff equ to a set of two first order.

d^2thata/dt^2 +(g/L)sin(theta) = 0, theta(0)=pi/6, theta'(0)=0

g = 32.17 ft./sec^2, L=2ft

Something like this:

u1(t) = theta(t)

u2(t) = theta'(t)

u1'(t) = u2(t)

u2'(t) = -16.085*sin(t) ??? not right

I want to convert this second order diff equ to a set of two first order.

d^2thata/dt^2 +(g/L)sin(theta) = 0, theta(0)=pi/6, theta'(0)=0

g = 32.17 ft./sec^2, L=2ft

Something like this:

u1(t) = theta(t)

u2(t) = theta'(t)

u1'(t) = u2(t)

u2'(t) = -16.085*sin(t) ??? not right

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