Ecuación diferencial ye^xdx+(y+e^x)dy=0

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Ha introducido [src]

d         x   d                x         
--(y(x))*e  + --(y(x))*y(x) + e *y(x) = 0
dx            dx

$$y{\left(x \right)} e^{x} + y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + e^{x} \frac{d}{d x} y{\left(x \right)} = 0$$

y*exp(x) + y*y' + exp(x)*y' = 0

Respuesta [src]

            ___________     
           /       2*x     x
y(x) = - \/  C1 + e     - e

$$y{\left(x \right)} = - \sqrt{C_{1} + e^{2 x}} - e^{x}$$

          ___________     
         /       2*x     x
y(x) = \/  C1 + e     - e

$$y{\left(x \right)} = \sqrt{C_{1} + e^{2 x}} - e^{x}$$

Clasificación

1st exact

1st power series

lie group

1st exact Integral