Unformatted text preview: 1.6.1 (b) What is the type of the following equation ? 9 u xx + 6 u xy + u yy + u x = 0 1.6.2 Find the regions in the xy plane where the equation (1 + x ) u xx + 2 xy u xy-y 2 u yy = 0 is elliptic, hyperbolic, or parabolic. Sketch them. 2.1.10 Solve u xx + u xt-20 u tt = 0 , u ( x, 0) = φ ( x ) , u t ( x, 0) = ψ ( x ) . 1...
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- Fall '08
- Boundary value problem, Complex number, initial value