Sr Examen

Ecuación diferencial d²y/dx²-4dy/dx+4y=8x²e^(2x)sin2x

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Para el problema de Cauchy:

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

Gráfico:

interior superior

Solución

Ha introducido [src]
    d                                               
  4*--(y(x))             2                          
    dx         4*y(x)   d *y(x)      2  2*x         
- ---------- + ------ + ------- = 8*x *e   *sin(2*x)
      dx         dx         3                       
                          dx                        
$$\frac{d^{2} y{\left(x \right)}}{dx^{3}} + \frac{4 y{\left(x \right)}}{dx} - \frac{4 \frac{d}{d x} y{\left(x \right)}}{dx} = 8 x^{2} e^{2 x} \sin{\left(2 x \right)}$$
d^2*y/dx^3 + 4*y/dx - 4*y'/dx = 8*x^2*exp(2*x)*sin(2*x)
Clasificación
factorable
1st linear
almost linear
1st power series
lie group
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
1st linear Integral
almost linear Integral
nth linear constant coeff variation of parameters Integral