Question

The differential equation dy/dx= eˣ⁺ʸ has solution........,Select correct option from given options.
(a) eˣ+e⁻ʸ=c
(b) eˣ+eʸ=c
(c) e⁻ˣ+eʸ=c
(d) e⁻ˣ+e⁻ʸ=c

Answer 1

Given differential equation:

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

$\frac{dy}{dx}=e^x\cdot e^y$

$\frac{dy}{e^y}=e^xdx$

$\int\frac{dy}{e^y}=\int e^xdx$

$\frac{-1}{e^{y}}=e^x+C$

Answer 2

$\textbf{Hey}$!!!!


The correct option is $\textbf{(A)}$....


Be Brainly.


@karangrover12.