Theory of Differential Equations volume 3

Cover Theory of Differential Equations volume 3
Theory of Differential Equations volume 3
Forsyth, Andrew Russell, 1858-1942
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188. ] REMAINING TYPICAL FORMS 119 Now suppose that one root is zero and that the other is K ; then the equations have the form (or can be changed to the form) dx O> y, or the form z-- = a z+ Ky + fa (x, y, z} dx dz - dz icy + fa (x, y, z) where fa and fa are regular functions of their arguments, and contain no terms of dimensions lower than two. By taking the former can be changed to -

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