Mathematics Homework Solutions
#168054
2 examples of the method of characteristics for solving PDEs
1. Use the method of characteristics to solve the advection equation
du/dt=-kdu/dx-ru
subject to the initial condition u(x,0)=f(x).
2. Use the method of characteristics to solve du/dt+te^(-t^2))du/dx=usin(t) subject to the initial condition u(x,0)=e^(-x^2))
(See attachment for the above questions formatted with correct mathematical notation)
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