Ecuación diferencial (y-4)dx+(x+y)dy=0

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Ha introducido [src]

       d          d                       
-4 + x*--(y(x)) + --(y(x))*y(x) + y(x) = 0
       dx         dx

$$x \frac{d}{d x} y{\left(x \right)} + y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + y{\left(x \right)} - 4 = 0$$

x*y' + y*y' + y - 4 = 0

Respuesta [src]

               _______________
              /       2       
y(x) = -x - \/  C1 + x  + 8*x

$$y{\left(x \right)} = - x - \sqrt{C_{1} + x^{2} + 8 x}$$

          _______________    
         /       2           
y(x) = \/  C1 + x  + 8*x  - x

$$y{\left(x \right)} = - x + \sqrt{C_{1} + x^{2} + 8 x}$$

Clasificación

1st exact

linear coefficients

1st power series

lie group

1st exact Integral

linear coefficients Integral