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First-Order Partial Differential Equations
- Linear Equations
- Equations of the Form f ( x , y ) ∂ w ∂ x + g ( x , y ) ∂ w ∂ y = 0
- Equations of the Form f ( x , y ) ∂ w ∂ x + g ( x , y ) ∂ w ∂ y = h ( x , y )
- Equations of the Form
- Quasilinear Equations
- Equations of the Form f ( x , y ) ∂ w ∂ x + g ( x , y ) ∂ w ∂ y = h ( x , y , w )
- Equations of the Form ∂ w ∂ x + [ f ( x , y , w ) ] ∂ w ∂ y = 0
- Equations of the Form ∂ w ∂ x + f ( x , y , w ) ∂ w ∂ y = g ( x , y , w )
- Nonlinear Equations
- References for Chapter T7
Abstract
► In equations T7.1.1.1–T7.1.1.11, the general solution is expressed in terms of the principal integral Ξ as w = Φ(Ξ), where Φ(Ξ) is an arbitrary function.
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