AutoI Technology Curriculum Book part 117 ppsx
Handbook of mathematics for engineers and scienteists part 117 ppsx
... NONLINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS 785 Differentiating each relation in (15.14.4.27) with respect to x and t (as composite functions) and eliminating the partial derivatives u t , ... the first (or the second) equation (15.14.4.16). As a result, we obtain a quasilinear first-order partial differential equation for u(x, t): (f 1 + g 1 Λ m ) ∂u ∂t +(h 1 + k 1 Λ m ) ∂u ∂x = 0, w ....
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