What is integrating factor of dy dx +y = ? 1. + 2. ( + ) 3. e^ 4.… - Vidyadip

Question

What is integrating factor of $\frac{\text{dy}}{\text{dx}}+\text{y}\sec\text{x}=\tan\text{x}?$

$\sec\text{x}+\tan\text{x}$
$\log(\sec\text{x}+\tan\text{x})$
$\text{e}^{\sec\text{x}}$
$\sec{\text{x}}$

✓

Answer

$\sec{\text{x}}+\tan\text{x}$

Solution:
We have,
$\frac{\text{dy}}{\text{dx}}+\text{y}\sec\text{x}=\tan\text{x}$
Comparing with We get,
$\text{P}=\sec{\text{x}}, \text{Q}=\tan{\text{x}}$
Now,
$\text{I.F}=\text{e}^{\int\sec\text{x}\text{dx}}$
$=\text{e}^{\log(\sec\text{x}+\tan\text{x})}$
$=\sec\text{x}+\tan\text{x}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from DIFFERENTIAL EQUATIONS→DIFFERENTIAL EQUATIONS — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

If A and B are two independent events such that P(A) = 0.3 and $\text{P}(\text{A}\cup\text{B})=0.5,$ then P(A|B) - P(B|A) =

$\frac{2}{7}$
$\frac{3}{35}$
$\frac{1}{70}$
$\frac{1}{7}$

Choose the correct answer from the given four options. Let $A = \{1, 2, 3, ...n\}$ and $B = \{a, b\}$. Then the number of surjections from $A$ into $B$ is:

The value of objective function is maximum under linear constraints

at the centre of feasible region
at (0, 0)
at any vertex of feasible region
the vertex which is maximum distance from (0, 0)

If $A=\left[\begin{array}{rr}0 & -1 \\ 0 & 2\end{array}\right]$ and $B=\left[\begin{array}{ll}3 & 5 \\ 0 & 0\end{array}\right]$ then value of $A B$ is-

Choose the correct answer from the given four options.
If $|\vec{\text{a}}|=4$ and $-3\leq\lambda\leq2,$ then the range of $|\lambda\vec{\text{a}}|$ is:

[0,8]
[-12,8]
[0,12]
[8,12]

Two or more vectors having the same initial point are:

Coinitial vectors
colinear vectors
equal vectors
Cannot say

The solution of the differential equation $dy = (1 + y^2) dx$ is:

A unit vector perpendicular to both $\hat{\text{i}}+\hat{\text{j}}$ and $\hat{\text{j}}+\hat{\text{k}}$ is:

$\hat{\text{i}}-\hat{\text{j}}+\hat{\text{k}}$
$\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}$
$\frac{1}{\sqrt{3}}\big(\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}\big)$
$\frac{1}{\sqrt{3}}\big(\hat{\text{i}}-\hat{\text{j}}+\hat{\text{k}}\big)$

A bag containe 5 black, 4white balls and 3 red balls. if a ball is selected randomwise, the probability that it is black or red ball is,

$\frac{1}{3}$
$\frac{1}{4}$
$\frac{5}{12}$
$\frac{2}{3}$

A function f from the set of natural numbers to the set of integers defined by $\text{f(n)}\begin{cases}\frac{\text{n}-1}{2},&\text{when n is odd}\\-\frac{\text{n}}{2},&\text{when n is even}\end{cases}$ is:

Neither one-one nor onto.
One-one but not onto.
Onto but not one-one.
One-one and onto.