The solution of the differential equation $\frac{dy}{dx} = e^{x-y} + x^2e^{-y}$ is...
- A$e^y = e^x + c$
- B$e^y = e^x + x^3 + c$
- C$e^y = e^x + \frac{x^3}{3} + c$
- D$e^y = e^x + 2x + c$
Explore More
Similar Questions
Find a particular solution satisfying the given condition:
$(x^{3}+x^{2}+x+1) \frac{dy}{dx} = 2x^{2}+x; y=1$ when $x=0$
$(x^{3}+x^{2}+x+1) \frac{dy}{dx} = 2x^{2}+x; y=1$ when $x=0$
Difficult
View SolutionIf $\frac{dy}{dx} = \frac{2^{x+y} - 2^{x}}{2^{y}}$ and $y(0) = 1$,then $y(1)$ is equal to:
DifficultJEE MAIN 2021
View Solution$A$ differentiable function satisfies $3f^2(x) f'(x) = 2x$. Given $f(2) = 1$,then the value of $f(3)$ is:
The solution of the differential equation $\frac{dy}{dx} = 1 - \cos(y-x) \cot(y-x)$ is
For the differential equation $x y \frac{dy}{dx} = (x+2)(y+2)$,find the solution curve passing through the point $(1, -1)$.
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo