Variable Separable
The solution of x dy - y dx = 0 is
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About This Question
- Subject
- mathematics
- Chapter
- differential equations
- Topic
- variable separable
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
y = Cx
- Rearrange Equation: xdy=ydx.
- Group Variables: Divide by xy (assuming x,y=0).
- ydy=xdx
- Integrate:
- lny=lnx+lnC
- lny=ln(Cx)
- Extract Variables: y=Cx.
- Note: This represents a family of straight lines passing through the origin.
This medium difficulty mathematics question is from the chapter differential equations, covering the topic of variable separable. It appeared in the 2025 exam.
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