Question: dyz Problem 2. Use the method of ordinary differential equations and find the general solutions to the following equations for unknown function u(x, y) a)

dyz Problem 2. Use the method of ordinary differential equations and find the general solutions to the following equations for unknown function u(x,

y) a) Orru + clu -0, c> 0 a constant. +CU =

dyz Problem 2. Use the method of ordinary differential equations and find the general solutions to the following equations for unknown function u(x, y) a) Orru + clu -0, c> 0 a constant. +CU = 0 b) Oxyu + 2xu = 0. a c) agu + u = u2 = 0 2 , , 2x X to Problem 3A Oxxutch = o ( D 2 + ( 2 ) 4 = 0 Auxilany ean is DC2= 0 m"+ c 2 = 0 mm = tci u ( x , y ) = Q , ( 4 + ic xx ) + opz ( y - icx ) 2 ) Oxy 4+ 2x4 = 0 ( D D + D ) U = O D ( D + 1 ) 4 = 0 u ( x,4 ) = b,ly) + e-d( $2 (se ) ( D + 1 ) u = 4 2 C . F = e - a di( x )

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