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The differential equation  is a solution of the equation:
  • a)
    y = (A/x) + B
  • b)
    xy = (A/x) + B
  • c)
    x2y = Ax + B
  • d)
    xy = Ax – B
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The differential equationis a solution of the equation:a)y = (A/x) + B...
Solving second order differential equation with variable coefficients becomes a bit lengthy and complicated. So, its better to check by options.
On checking option A :
y = A/x + B
dy/dx = -A/x2
d2y/dx= (2A)/x3
So,
 d2y/dx2 + (2/x)*(dy/dx) = 0
(2A)/x3 + (2/x)*((-A)/x2) = 0
(2A - 2A)/x3 = 0
0 = 0
LHS = RHS
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The differential equationis a solution of the equation:a)y = (A/x) + B...
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The differential equationis a solution of the equation:a)y = (A/x) + B...
Don't solve the given question just solve the question by checking options
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