Sr Examen

Ecuación diferencial 1/x(y'-y)=e2x

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Para el problema de Cauchy:

y() =
y'() =
y''() =
y'''() =
y''''() =

Gráfico:

interior superior

Solución

Ha introducido [src]
        d              
-y(x) + --(y(x))       
        dx             
---------------- = e2*x
       x               
$$\frac{- y{\left(x \right)} + \frac{d}{d x} y{\left(x \right)}}{x} = e_{2} x$$
(-y + y')/x = e2*x
Respuesta [src]
                   x       2         
y(x) = -2*e2 + C1*e  - e2*x  - 2*e2*x
$$y{\left(x \right)} = C_{1} e^{x} - e_{2} x^{2} - 2 e_{2} x - 2 e_{2}$$
Clasificación
1st exact
1st linear
Bernoulli
almost linear
1st power series
lie group
1st exact Integral
1st linear Integral
Bernoulli Integral
almost linear Integral