Problem on partial differential equations


Assignment:

Q1. Classify and find general expressions for the characteristic coordinates for the equation.

396_General expressions.JPG
Q2. Use the canonical coordinates ξ= e-xt  and η= x and transfer the above PDE into the new coordinates.  Solve it in the new coordinates and show that

435_Canonical coordinates.JPG
where F and G are arbitrary functions of their arguments.

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Engineering Mathematics: Problem on partial differential equations
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