1. Solve the following heat equation subject to the given conditions. a) u(0,t)=10; ux(2,t)=-5 b) ux(0,t)=5;...

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1. Solve the following heat equation subject to the given conditions. a) u(0,t)=10; ux(2,t)=-5 b) ux(0,t)=5; ux(10,t)=5 Ju x2 = It u(x,0)=10 u(x,0)=45+5x c) ux(0,t)=2; u(6,t)=12; u(x,0)=0 d) u(0,t)=1; u(1,t)=2 u(x,0)=0 1. Solve the following heat equation subject to the given conditions. a) u(0,t)=10; ux(2,t)=-5 b) ux(0,t)=5; ux(10,t)=5 Ju x2 = It u(x,0)=10 u(x,0)=45+5x c) ux(0,t)=2; u(6,t)=12; u(x,0)=0 d) u(0,t)=1; u(1,t)=2 u(x,0)=0