Question:medium
The solution of the differential equation \( (kx - y^2) dy = (x^2 - ky) dx \) is:
The solution of the differential equation \( (kx - y^2) dy = (x^2 - ky) dx \) is:
Show Hint
Always look for the combination $(y dx + x dy)$ in differential equations; it is the exact differential of the product $xy$, allowing for immediate integration.
Updated On: May 6, 2026
- \( x^3 - y^3 = 3kxy + C \)
- \( x^3 + y^3 = 3kxy + C \)
- \( x^2 - y^2 = 2kxy + C \)
- \( x^2 + y^2 = 2kxy + C \)
- \( x^3 - y^2 = 3kxy + C \)
Show Solution
The Correct Option is A
Solution and Explanation
Was this answer helpful?
0
Top Questions on Differential equations
- The solution of the differential equation \( x \cos y \, dy = (x e^x \log x + e^x) \, dx \) is:
- MHT CET - 2024
- Mathematics
- Differential equations
- The particular solution of the differential equation \(e \frac{dy}{dx} = (x + 1)\), \(y(0) = 3\), is:
- MHT CET - 2024
- Mathematics
- Differential equations
- If the curve \(y^2 = 6x\) and \(9x^2 + by^2 = 16\) intersect each other at right angles, then the value of \(b\) is:
- MHT CET - 2024
- Mathematics
- Differential equations
- The maximum value of \(\frac{\log(x)}{x}\) is:
- MHT CET - 2024
- Mathematics
- Differential equations
- Want to practice more? Try solving extra ecology questions todayView All Questions
