Question:medium
The integrating factor of the differential equation $2dy = (y + \cos x) dx$ is
The integrating factor of the differential equation $2dy = (y + \cos x) dx$ is
Show Hint
Always ensure the coefficient of $\frac{dy}{dx}$ is exactly 1 before identifying $P(x)$. Forgetting to divide by a constant coefficient like the '2' here is a very common mistake.
Updated On: Jun 24, 2026
- $e^{-2x}$
- $e^{-x/2}$
- $e^{2x}$
- $e^{x/2}$
- $-e^{x/2}$
Show Solution
The Correct Option is B
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
