Sr Examen

Ecuación diferencial y'''=e^(5*x)+2

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]
  3                 
 d               5*x
---(y(x)) = 2 + e   
  3                 
dx                  
$$\frac{d^{3}}{d x^{3}} y{\left(x \right)} = e^{5 x} + 2$$
y''' = exp(5*x) + 2
Respuesta [src]
             3    5*x               
            x    e                 2
y(x) = C1 + -- + ---- + C2*x + C3*x 
            3    125                
$$y{\left(x \right)} = C_{1} + C_{2} x + C_{3} x^{2} + \frac{x^{3}}{3} + \frac{e^{5 x}}{125}$$
Clasificación
nth algebraic
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear euler eq nonhomogeneous variation of parameters
nth algebraic Integral
nth linear constant coeff variation of parameters Integral
nth linear euler eq nonhomogeneous variation of parameters Integral