homework4 - 2.1.10 Solve uxx + uxt 20 utt = 0, 3.4.2 Solve...

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2.1.10 Solve u xx + u xt - 20 u tt = 0 , u ( x, 0) = φ ( x ) , u t ( x, 0) = ψ ( x ) . 3.4.2 Solve u tt = c 2 u xx + e ax , u ( x, 0) = 0 , u t ( x, 0) = 0 . Problem 1. Find the general solution for the inhomogeneous hyperbolic equation: u yy + u xy - 6 u xx = e y - 2 x Problem 2. Find the general solution for the initial value problem: u yy - u xx = 0 , u ( ax,bx ) = φ ( x
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