Question: Show that the second-order differential equation y = F(x, y, y) can be reduced to a system of two first-order differential equations Can something similar

Show that the second-order differential equation y″ = F(x, y, y′) can be reduced to a system of two first-order differential equations dy dx dz dx Z, = F(x, y, z).

Can something similar be done to the nth-order differential equation y⁽ⁿ⁾ = F(x, y, y′, y″,c, y^(n-1))?

dy dx dz dx Z, = F(x, y, z).

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