How 뺣 problem (si Salve In PC PDE: UX + 20y +20=0 IC: Ulayl= F(x,y) on the cune y=x -214x) e Final answer: u(x,y)=f(2x-y
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lesson(27) 1 1st order Equations, , Method of characteristic O APDE of the form a(x,z) (x + b(x,y) uy + C(x,y) U=2(x,y) is called a ist_order linear PoE in 2 variables. 2 It is called homoy. If d=0 a (x,y) = x + 220 linear : & quasi line More generally, a PDE of the form , a(x, y, 4) a(x,z, u) ux + b (x,yu) uy = c(x,yull =xyu is called a 1st order quasi-linear PDE in 2 Variables.