Question

doc
dy
.
solve
ytz
Z+x
dz
xty
POJ -
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Answer 1

Answer:

Given,

dx / (y + z) = dy / (- x - z) = dz / (x - y)

So, it can also be expressed as:

dx / (y + z) = (dy + dz) / (- x - z + x - y)

dx / (y + z) = (dy + dz) / (- y - z)

dx = - (dy + dz)

dx + dy + dz = 0

Taking integration of both sides, we get:

[integration] (dx + dy + dz) = k, where k is a constant of integration.

[integration] dx + [integration] dy + [integration] dz = k

(x + y + z) = k