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Match each differential equation in Group I to its family of solution curves in Group II:
- a)A - 2, B - 3, C - 3, D - 1
- b)A - 1, B - 3, C - 2, D - 1
- c)A - 2, B - 1, C - 3, D - 3
- d)A - 3, B - 2, C - 1, D - 2
Correct answer is option 'A'. Can you explain this answer?
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Match each differential equation in Group I to its family of solution...
(A) dy/dx = y/x
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Or, log y = log x + log c
Or, y = cx Straight Line
Thus, options (1) and (3) may be correct.
(B) dy/dx = - y/x
Or, log y = - log x + log c
Or, log y = log 1/x + log c
Or, y = c/x Hyperbola
(C) dy/dx = x/y
ydy - xdx = 0
Integrating we get
y2 - x2 = c, a hyperbola
(D) dy/dx = -x/y
ydy + xdx = 0
Integrating we get
x2 + y2 = c, a circle
Most Upvoted Answer
Match each differential equation in Group I to its family of solution...
(A) dy/dx = y/x
Or, log y = log x + log c
Or, y = cx Straight Line
Thus, options (1) and (3) may be correct.
(B) dy/dx = - y/x
Or, log y = - log x + log c
Or, log y = log 1/x + log c
Or, y = c/x Hyperbola
(C) dy/dx = x/y
ydy - xdx = 0
Integrating we get
y2 - x2 = c, a hyperbola
(D) dy/dx = -x/y
ydy + xdx = 0
Integrating we get
x2 + y2 = c, a circle
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Match each differential equation in Group I to its family of solution curves in Group II:a)A - 2, B - 3, C - 3, D - 1b)A - 1, B - 3, C - 2, D - 1c)A - 2, B - 1, C - 3, D - 3d)A - 3, B - 2, C - 1, D - 2Correct answer is option 'A'. Can you explain this answer?
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