What is the solution for (e^x+y)dx+(e^v+x)dy=0 ?

The solution for (e^x+y)dx+(e^v+x)dy=0 is y=(c_{1})/(x+e^v)-(e^x)/(x+e^v)

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(e^x+y)dx+(e^v+x)dy=0

(e^{x} + y) d x + (e^{v} + x) d y = 0

y = \frac{c _{1}}{x + e ^{v}} - \frac{e ^{x}}{x + e ^{v}}

Solution steps

(e^{x} + y) d x + (e^{v} + x) d y = 0

Solve exact ODE:

y = \frac{c _{1}}{x + e ^{v}} - \frac{e ^{x}}{x + e ^{v}}

y = \frac{c _{1}}{x + e ^{v}} - \frac{e ^{x}}{x + e ^{v}}

\int_{- \infty}^{0} \frac{1}{5 - 7 x} d x

h (x) = \frac{x}{x ^{3} + 1}

f (x) = x (4 x - 12)^{3}

\frac{d}{d x} (\frac{e ^{4 x}}{x ^{12}})

f (x) = 4 x^{5} - x^{3} - 2

What is the solution for (e^x+y)dx+(e^v+x)dy=0 ?
The solution for (e^x+y)dx+(e^v+x)dy=0 is y=(c_{1})/(x+e^v)-(e^x)/(x+e^v)