Question: Solve the following problems a) $$ begin{array}{c} frac{partial u}{partial t}+3 x frac{partial u}{partial x}=1+u, quad- infty 0 W u(x, 0)=f(x) end{array) $$ b) $$ begin{array}{c}

 Solve the following problems a) $$ \begin{array}{c} \frac{\partial u}{\partial t}+3 x

Solve the following problems a) $$ \begin{array}{c} \frac{\partial u}{\partial t}+3 x \frac{\partial u}{\partial x}=1+u, quad- \infty0 W u(x, 0)=f(x) \end{array) $$ b) $$ \begin{array}{c} t \frac{\partial u}{\partial t}+2 x \frac{\partial u}{\partial x}=1, \quad- \infty1 W u(X, 1)=f(x) \end{array} $$ SP.JG. 106

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