2. a) Form a partial differential equation by eliminating the arbitrary functions f and g from = A[x² −y)+ g(x² + y). 2 b) Solve the partial differential equation of Lagrange's form y2p+x²q = x²y²z². c) Solve: Z= d²y dx² 2 dy 4 -+18 y = 0. dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. a) Form a partial differential equation by eliminating the arbitrary functions f and g from
Z=
b) Solve the partial differential equation of Lagrange's form y2p + x?q = x?y?z².
d²y dy
c) Solve:
dx
4
+ 18 y = 0.
dx
Transcribed Image Text:2. a) Form a partial differential equation by eliminating the arbitrary functions f and g from Z= b) Solve the partial differential equation of Lagrange's form y2p + x?q = x?y?z². d²y dy c) Solve: dx 4 + 18 y = 0. dx
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