Sr Examen
Ecuación diferencial y''''-16y''=8x+16
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Solución
Ha introducido
[src]
2 4
d d
- 16*---(y(x)) + ---(y(x)) = 16 + 8*x
2 4
dx dx
$$- 16 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{4}}{d x^{4}} y{\left(x \right)} = 8 x + 16$$
-16*y'' + y'''' = 8*x + 16
Respuesta
[src]
2 3
x x -4*x 4*x
y(x) = C1 - -- - -- + C2*x + C3*e + C4*e
2 12
$$y{\left(x \right)} = C_{1} + C_{2} x + C_{3} e^{- 4 x} + C_{4} e^{4 x} - \frac{x^{3}}{12} - \frac{x^{2}}{2}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth order reducible
nth linear constant coeff variation of parameters Integral