a) Classify and find general expressions for the characteristic
coordinates for the equation
and transfer the above PDE into the new coordinates. Solve it in the
new coordinates and show that
where F and G are arbitrary functions of their arguments.
Mathematics Homework Solutions
#38632
Partial Differential Equations
a) Classify and find general expressions for the characteristic coordinates for the equation {see attachment}
b) Use the canonical coordinates {see attachment} and transfer the above PDE into the new coordinates. Solve it in the new coordinates and show that {see attachments} where F and G are arbitrary functions of their arguments.
This shows how to classify and find general expressions for characteristic coordinates and use given canonical coordinates to transfer a partial differential equation to new coordinates.
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