Question
Solve the following differential equation:$\text{x}\frac{\text{dy}}{\text{dx}}+\text{y}=\text{x}\text{e}^{\text{x}}$

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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

Find the area enclosed by the curve $3x^2 + 5y = 32$ and $y = |x - 2|$
Evaluate the following integrals as limit of sum:$\int\limits^{4}_{1}\big(3\text{x}^2+2\text{x}\big)\text{dx}$
Integrate the following functions w.r.t. x:

$x+\sqrt{5-4 \tau-r^2}$

If $\vec{\text{p}}=5\hat{\text{i}}+\lambda\hat{\text{j}}-3\hat{\text{k}}$ and $\vec{\text{q}}=\hat{\text{i}}+3\hat{\text{j}}-5\hat{\text{k}},$ then find the value of $\lambda,$ so that $\vec{\text{p}}+\vec{\text{q}}$ and $\vec{\text{p}}-\vec{\text{q}}$ are perpendicular vectora.
Find the inverse of $\left[\begin{array}{lll}1 & 2 & 3 \\ 1 & 1 & 5 \\ 2 & 4 & 7\end{array}\right]$ by adjoint method.
Find the equations of all lines having slope 2 and that are tangent to the curve $\text{y}=\frac{1}{\text{x}=3},\text{x}\neq3.$
Find the shortest distance between the lines
$\vec{\text{r}}=\hat{\text{i}}+2\hat{\text{j}}+3\hat{\text{k}}+\lambda\big(\hat{\text{i}}-3\hat{\text{j}}+2\hat{\text{k}}\big)$ and $\vec{\text{r}}=4\hat{\text{i}}+5\hat{\text{j}}+6\hat{\text{k}}+\mu\big(2\hat{\text{i}}+3\hat{\text{j}}+\hat{\text{k}}\big)$
If $\text{A}=\begin{bmatrix}1&-1&0\\ 2&3&4\\ 0&1&2\end{bmatrix}\text{and }\text{B}=\begin{bmatrix}2&2&-4\\ -4&2&-4\\ 2&-1&5\end{bmatrix}$ are two square matrices, find AB and hence solve the system of linear equations:
x - y = 3, 2x + 3y + 4z = 17, y + 2z = 7
Differentiate the following functions with respect to x:
$\cos^{-1}\Big(\frac{1-\text{x}^{2\text{n}}}{1+\text{x}^{2\text{n}}}\Big), <\text{x}<\infty$
In a certain college, $4 \%$ of boys and $1 \%$ of girls are taller than $1.75$ metres. Further more, $60 \%$ of the students in the colleges are girls. A student selected at random from the college is found to be taller than $1.75$ metres. Find the probability that the selected students is girl.