Characteristic curves
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Find a partial differential equation whose characteristic curves are the lines x-y=a, x+2y=b where a,b are arbitrary real constants.
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Solution Summary
The expert finds a partial differential equation whose characteristic curve is a line.
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Problem:
Find a partial differential equation whose characteristic curves are the lines x-y=a, x+2y=b where a,b are arbitrary real constants.
Solution:
Since the partial differential equation (PDE) admits real characteristics, then it will be of hyperbolic type, that is:
( 1)
According to the theory, the corresponding equation of the characteristic curves is expressed by:
...
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