Integrating factor of dy dx + y x = x^3 - 3 is - Vidyadip

MCQ

Integrating factor of $\frac{{dy}}{{dx}} + \frac{y}{x} = {x^3} - 3$ is

✓
$x$
B
$\log x$
C
$ - x$
D
${e^x}$

✓

Answer

Correct option: A.

$x$

a
(a) $I.F.$ $ = {e^{\int_{}^{} {p.dx} }}$ ==> ${e^{\int_{}^{} {\frac{1}{x}dx} }} = {e^{{{\log }_e}x}} = x$.

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 9. differential equations→9. differential equations — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Which of the following is not a vector quantity:

Speed
Density
Force
Velocity

if $\int_{- a }^{ a }(| x |+| x -2| d x =22,( a >2)$ and $[ x ]$ denotes the greatest integer $\leq x ,$ then $\int_{ a }^{- a }( x +[ x ]) d x$ is equal to ...........

The function $y = a(1 - \cos x)$ is maximum when $x = $

$\left| {\,\begin{array}{*{20}{c}}{a - b}&{b - c}&{c - a}\\{x - y}&{y - z}&{z - x}\\{p - q}&{q - r}&{r - p}\end{array}\,} \right| = $

$\int \frac{1}{x+x \log x} d x=$ ___________ + C.

$\tan ^{-1}\left(\frac{1+\sqrt{3}}{3+\sqrt{3}}\right)+\sec ^{-1}\left(\sqrt{\frac{8+4 \sqrt{3}}{6+3 \sqrt{3}}}\right)$ is equal to $.........$

If $\text{A}_{\text{r}}=\begin{vmatrix}1&\text{r}&2^{\text{r}}\\2&\text{n}&\text{n}^{2}\\\text{n}&\frac{\text{n}(\text{n}+1)}{2}&2^{\text{n}+1} \end{vmatrix},$ then the value of $\sum\limits_{\text{r}=1}^\text{n}\text{A}_\text{r}$ is:

n
2n
-2n³
n²

$y = a{e^{mx}} + b{e^{ - mx}}$ satisfies which of the following differential equations

The area of the region bounded by the curve x = 2y + 3 and lines y = 1 and y = –1 is:

$4\text{ sq.}\text{ units}$
$\frac{2}{3}\text{ sq.}\text{ units}$
$6\text{ sq.}\text{ units}$
$8\text{ sq.}\text{ units}$

If $|a|\, = 2,\,\,|b|\, = 5$ and $|a \times b|\, = 8,$ then $a . b $ is equal to