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General solution of pde given below is (y2+ z2+ x2 )p - 2xyq + 2xz = 0
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
General solution of pde given below is (y2+ z2+ x2 )p - 2xyq + 2xz = 0...
ANSWER :- a
Solution :- Lagrange auxiliary equations are :-
dx/(y^2 + z^2 - x^2) = -dy/(-2xy) = -dz/(2xz)
Taking the last two members, we get
dy/y = dz/z
Integrating log y = logz + logc1
=y/z = c1
Using ,multipliers x,y,z we get (xdx + ydy + zdz)/-x(x^2 + y^2 + z^2)
(xdx + ydy + zdz)/-x(x^2 + y^2 + z^2) = dx/(-2xz)
2(xdx + ydy + zdz)/(x^2 + y^2 + z^2) = dz/z
Integrating, log(x^2 + y^2 + z^2) = logz + logc2
(x^2 + y^2 + z^2) = zc2
Hence the required solution is f(c1,c2) = 0
= f(y/z, (x^2 + y^2 + z^2)/z) = 0
Most Upvoted Answer
General solution of pde given below is (y2+ z2+ x2 )p - 2xyq + 2xz = 0...
ANSWER :- a
Solution :- Lagrange auxiliary equations are :-
dx/(y^2 + z^2 - x^2) = -dy/(-2xy) = -dz/(2xz)
Taking the last two members, we get
dy/y = dz/z
Integrating log y = logz + logc1
=y/z = c1
Using ,multipliers x,y,z we get (xdx + ydy + zdz)/-x(x^2 + y^2 + z^2)
(xdx + ydy + zdz)/-x(x^2 + y^2 + z^2) = dx/(-2xz)
2(xdx + ydy + zdz)/(x^2 + y^2 + z^2) = dz/z
Integrating, log(x^2 + y^2 + z^2) = logz + logc2
(x^2 + y^2 + z^2) = zc2
Hence the required solution is f(c1,c2) = 0
= f(y/z, (x^2 + y^2 + z^2)/z) = 0
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Community Answer
General solution of pde given below is (y2+ z2+ x2 )p - 2xyq + 2xz = 0...
ANSWER :- a
Solution :- Lagrange auxiliary equations are :-
dx/(y^2 + z^2 - x^2) = -dy/(-2xy) = -dz/(2xz)
Taking the last two members, we get
dy/y = dz/z
Integrating log y = logz + logc1
=y/z = c1
Using ,multipliers x,y,z we get (xdx + ydy + zdz)/-x(x^2 + y^2 + z^2)
(xdx + ydy + zdz)/-x(x^2 + y^2 + z^2) = dx/(-2xz)
2(xdx + ydy + zdz)/(x^2 + y^2 + z^2) = dz/z
Integrating, log(x^2 + y^2 + z^2) = logz + logc2
(x^2 + y^2 + z^2) = zc2
Hence the required solution is f(c1,c2) = 0
= f(y/z, (x^2 + y^2 + z^2)/z) = 0
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General solution of pde given below is (y2+ z2+ x2 )p - 2xyq + 2xz = 0a)b)c)d)Correct answer is option 'A'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about General solution of pde given below is (y2+ z2+ x2 )p - 2xyq + 2xz = 0a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for General solution of pde given below is (y2+ z2+ x2 )p - 2xyq + 2xz = 0a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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