Solve dy/dx = -y/x with y(1) = 2:
Ay = ln 2
By = 2x
Cy = 2/x
Dy = -2x
Answer & Solution
Correct answer: C. y = 2/x
Separable: dy/y = -dx/x → ln|y| = -ln|x| + C → y = A/x. With y(1)=2: A = 2. So y = 2/x. (Hyperbola xy = 2.)
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