Question:
Integrating factor of the differential equation \((1-y²) \frac{dx}{dy} + xy = ay\) is:
Integrating factor of the differential equation \((1-y²) \frac{dx}{dy} + xy = ay\) is:
Updated On: May 21, 2024
- \(\frac{1}{1-y^2}\)
- \(\frac{1}{\sqrt{y^2-1}}\)
- \(\frac{1}{{y^2-1}}\)
- \(\frac{1}{\sqrt{1-y^2}}\)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is (D):
\(\frac{1}{\sqrt{1-y^2}}\)
Was this answer helpful?
0
0
Top Questions on Differential Equations
- The acceleration \( f \) (in ft/sec\(^2\)) of a particle after a time \( t \) seconds starting from rest is given by:
\[ f = 6 - \sqrt{1.2t}. \]
Then the maximum velocity \( v \) and the time \( T \) to attain this velocity are:- WBJEE - 2024
- Mathematics
- Differential Equations
- If \[ y = \tan^{-1} \left[ \frac{\log_e\left(\frac{e}{x}\right)}{\log_e(e x^2)} \right] + \tan^{-1} \left[ \frac{3 + 2\log_e x}{1 - 6\cdot\log_e x} \right], \]
then \( \frac{d^2y}{dx^2} = ? \)- WBJEE - 2024
- Mathematics
- Differential Equations
- If a particle moves in a straight line according to the law \(x = a \sin(\sqrt{t} + b)\), then the particle will come to rest at two points whose distance is:
- WBJEE - 2024
- Mathematics
- Differential Equations
- If \(x y' + y - e^x = 0, \, y(a) = b\), then
\[ \lim_{x \to 1} y(x) \text{ is} \]- WBJEE - 2024
- Mathematics
- Differential Equations
- Let \(f\) be a differential function with
\[ \lim_{x \to \infty} f(x) = 0. \text{ If } y' + y f'(x) - f(x) f'(x) = 0, \lim_{x \to \infty} y(x) = 0 \text{ then,} \]- WBJEE - 2024
- Mathematics
- Differential Equations
View More Questions
Questions Asked in CUET exam
- Two resistances of 100 \(\Omega\) and 200 \(\Omega\) are connected in series across a 20 V battery as shown in the figure below. The reading in a 200 \(\Omega\) voltmeter connected across the 200 \(\Omega\) esistance is _______.
Fill in the blank with the correct answer from the options given below- CUET (UG) - 2024
- Current electricity
- Who devised the concept of Intelligence Quotient (IQ)?
- CUET (UG) - 2024
- Psychological attributes
- As per data collected in 2011, arrange the following Indian states in terms of child sex-ratio from lowest to highest:
(A) Punjab
(B) Haryana
(C) Tamil Nadu
(D) Sikkim
Choose the correct answer from the options given below:- CUET (UG) - 2024
- Social Inequality and Exclusion
- A molecule X associates in a given solvent as per the following equation:
X ⇌ (X)n
For a given concentration of X, the van’t Hoff factor was found to be 0.80 and the
fraction of associated molecules was 0.3. The correct value of ‘n’ is:- CUET (UG) - 2024
- Solutions
- If \(A = \begin{bmatrix} 3 & 2 \\ -1 & 1 \end{bmatrix} \quad \text{and} \quad B = \begin{bmatrix} -1 & 0 \\ 2 & 5 \\ 3 & 4 \end{bmatrix},\)then \((BA)^T\) is equal to:
- CUET (UG) - 2024
- Matrices
View More Questions