Question
Define a differential equation.

Answer

An equation containing an independent variable, a dependent variable and differential cofficients of the dependent variable with reapect to the independent variable is called a differential equation.
for example: $\frac{\text{dy}}{\text{dx}}=\text{e}^{\text{x}+\text{y}}$

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

Similar questions

Evalute the following integrals:
$\int\frac{\text{cosec}^2\text{x}}{1+\cot\text{x}}\text{dx}$
If $\text{f(x)}=\begin{cases}\frac{1-\cos\text{x}}{\text{x}^2},&\text{x}\neq0\\\text{k},&\text{x}=0\end{cases}$ is continuous at x = 0, find k.
Differentiate the function with respect to x : $\sin \left( {ax + b} \right)$
Show that $\text{f}(\text{x})=\text{x}^2-\text{x}\sin\text{x}$ is an increasing function on $\Big(0,\frac{\pi}{2}\Big).$
Determine whether the relation is reflexive, symmetric and transitive:
Relation R in the set A of human beings in a town at a particular time given by
R = {(x, y) : x is wife of y}
If u, v and w are functions of x, then show that
$\frac{d}{d x}(u . v . w)=\frac{d u}{d x} v . w+u . \frac{d v}{d x} \cdot w+u \cdot v \frac{d w}{d x}$
in two ways - first by repeated application of product rule, second by logarithmic differentiation.
The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?
Write Minors and Cofactors of the elements of following determinant:
$\begin{vmatrix}a&c\\b&d\end{vmatrix}$
Find the angle between the vectors $\vec{\text{a}} $ and $\vec{\text{b}},$ where$\vec{\text{a}}=3\hat {\text{i}}-2\hat{\text{j}}-6\hat{\text{k}}$ and $\vec{\text{b}} =4\hat{\text{i}}-\hat{\text{j}}+8\hat{\text{k}}$
If x and y are connected parametrically by the equations given in Exercise without eliminating the parameter, Find $\frac{\text{dy}}{\text{dx}}.$
$\text{x}=\text{a}\cos\theta,\text{y}=\text{b}\cos\theta$