COMEDK · Maths · 32. Differential Equations
The differential equation \(y \frac{d y}{d x}+x=c\) represents
- A a family of hyperbolas.
- B a family of circles whose centres are on the \(Y\)-axis.
- C a family of parabolas.
- D a family of circles whose centres are on the \(X\)-axis.
Answer & Solution
Correct Answer
(D) a family of circles whose centres are on the \(X\)-axis.
Step-by-step Solution
Detailed explanation
We have, \[ \begin{gathered} y \frac{d y}{d x}+x=c \\ \Rightarrow \quad y \frac{d y}{d x}=(c-x) \\ \Rightarrow \quad y d y=(c-x) d x \end{gathered} \]…
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