retagged by
255 views

1 Answer

0 votes
0 votes

$\frac{dy}{dx} = e^{x-y} + x^2e^{-y} = \frac{e^x + x^2}{e^y}$.

As the $x-$terms and $y-$ terms have been separated, we can integrate them with $dx$ and $dy$ respectively.

$e^ydy = (e^x + x^2)dx$

$e^y = e^x + \frac{x^3}{3} + c$

a is the correct answer.

Related questions

0 votes
0 votes
1 answer
1
sh!va asked Feb 28, 2017
232 views
a) 3/2b) 2/3c) 8/9d) 8/13
0 votes
0 votes
0 answers
2
sh!va asked Feb 28, 2017
215 views
(cos 5 ϴ — i sin 5 ϴ )$ ^2$ is same as:a. cos 10 ϴ + i sin 10 ϴb. cos 25 ϴ - sin 25 ϴc. (cos ϴ + i sin ϴ )$^ {-10}$d. (cos ϴ - i sin ϴ )$^{-10}$
0 votes
0 votes
1 answer
3
0 votes
0 votes
1 answer
4
sh!va asked Feb 28, 2017
390 views
The value of x at which y has a minimum for $y = x^2 -3x + 1$ isa. -3/2b. 3/2c. 0d. None of these