The general solution of d y d x = e ^ - x is - Vidyadip

MCQ

The general solution of $\frac{ d y}{ d x}= e ^{- x }$ is

A
$y=e^x+c$
B
$y=e^{-x}+c$
✓
$y=-e^{-x}+c$
D
$y=e^{2 x}+c$

✓

Answer

Correct option: C.

$y=-e^{-x}+c$

$y=-e^{-x}+c$

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 "MCQ" from Question Bank [2022]→Question Bank [2022] — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Each side of equilateral is increasing at the rate of $8\ cm/hr.$ The rate of increase of its area when side $2\ cm,$ is:

$\bar{a}$ and $\bar{b}$ are two non-collinear vectors, then $x \overline{ a }+y \overline{b}$ (where $x$ and $y$ are scalars) represents a vector which is

Let $f : R \rightarrow R$ be defined as $\text{f(x)}=\begin{cases}2\text{x},&\text{if x}>3\\\text{x}^2,&\text{if }1<\text{x}\leq3\\3\text{x},&\text{if x}\leq1\end{cases}.$ Then, find $f(-1) + f(2) + f(4)$:

The smallest positive angle which satisfies the equation $2 \sin ^2 \theta+\sqrt{3} \cos \theta+1=0$, is

If $\text{A}=\begin{bmatrix} 1 & 2 & -1 \\ -1 & 1 & 2 \\ 2 & -1 & 1 \end{bmatrix},$ then det $(adj (adj \ A))$ is:

The negation of the statement: ${ }^{\circ}$ Getting above $95 \%$ marks is necessary condition for Hema to get the admission in good college".

Let $I _1=\int_{ e }^{ e ^2} \frac{1}{\log x} d x$ and $I _2=\int_1^2 \frac{ e ^x}{x} d x$ then

If $x + y = 8,$ then the maximum value of $xy$ is:

$\cot ^{-1}\left(\frac{a b+1}{a-b}\right)+\cot ^{-1}\left(\frac{b c+1}{b-c}\right)+\cot ^{-1}\left(\frac{c a+1}{c-a}\right)$ is equal to

If $\bar{a}=2 \hat{i}+\hat{j}-\hat{k}$ is perpendicular to $\overline{ b }=\hat{ i }-4 \hat{ j }-\lambda \hat{ k }$, then $\lambda$ is equal to