Burgers’ equation  $u_t + u u_x = −x $

Find the solution of the Burgers’ equation 
\[ u_t + u u_x = −x  \text{for} \ \ t ≥ 0,\]   \[ u(x, 0) = f(x)    \text{on}  −∞ <x< ∞. \]


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Erdos Erdos
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