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(Solved): 1.3 Consider the following equation: xu_(x)+(x^(2)+y)u_(y)+((y)/(x)-x)u=1 with the initial condition ...
1.3 Consider the following equation:
xu_(x)+(x^(2)+y)u_(y)+((y)/(x)-x)u=1with the initial conditions
u(1,y)=0. 1.3.1 Find the characteristic equations and the parametric initial condition. 1.3.2 Check if the exist a unique solution in the neighborhood of the initial curve. 1.3.3 Find the parametric integral surface. 1.3.4 Find the explicit representation of the integral surface. 1.3.5 Find
u(3,6)? 1.3.6 Is the solution defined everywhere?
