Question #289565

Find the solution of the following symmetrical simultaneous differential equation dx/1 = -dy/1 = dz/1


1
Expert's answer
2022-02-01T16:21:19-0500

dx/1=dy/1=dz/1dx/1 = -dy/1 = dz/1

dx=dy=dzdx = -dy = dz

d(x+y)=d(z+y)=0d(x+y)=d(z+y)=0

Therefore, the functions x+yx+y and z+yz+y are constant along any integral curve and form a complete system of integral invariants. Therefore, the general solution can be written as

Φ(x+y,z+y)=0\Phi(x+y,z+y)=0, where Φ\Phi is an arbitrary smooth function of two variables.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS