Question #76038
Verified that the equations
1.z=root(
2x+a)+root(2y+b) and
2.z^2+meu=2(1+lemda^-1)(x+lemda y)
are both complete integrals of the PDE z=1/p+1/q.Also show that the complete integral (2)is the envelope of the one parameter sub-system obtained by taking b=-a/lemda-meu/(1+lemda) in the solution (1)
1.z=root(
2x+a)+root(2y+b) and
2.z^2+meu=2(1+lemda^-1)(x+lemda y)
are both complete integrals of the PDE z=1/p+1/q.Also show that the complete integral (2)is the envelope of the one parameter sub-system obtained by taking b=-a/lemda-meu/(1+lemda) in the solution (1)
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#339914 on Dec 2023
#339914 on Dec 2023
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