WBJEE · Maths · Differential Equations
Solution of the differential equation \(x d y-y d x=0\) represents a
- A parabola
- B circle
- C hyperbola
- D straight line
Answer & Solution
Correct Answer
(D) straight line
Step-by-step Solution
Detailed explanation
Hints: \(x . d y-y . d x=0 \Rightarrow x d y=y d x\) \[ \begin{aligned} & \frac{d y}{y}=\frac{d x}{x} \Rightarrow \log y=\log x+\log c \\ & y=x c \end{aligned} \]
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