Sr Examen
Ecuación diferencial y'''+8y''=-6x^2+9x+2
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Solución
Ha introducido
[src]
2 3
d d 2
8*---(y(x)) + ---(y(x)) = 2 - 6*x + 9*x
2 3
dx dx
$$8 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = - 6 x^{2} + 9 x + 2$$
8*y'' + y''' = -6*x^2 + 9*x + 2
Respuesta
[src]
4 3 2
x 7*x 11*x -8*x
y(x) = C1 - -- + ---- + ----- + C2*x + C3*e
16 32 256
$$y{\left(x \right)} = C_{1} + C_{2} x + C_{3} e^{- 8 x} - \frac{x^{4}}{16} + \frac{7 x^{3}}{32} + \frac{11 x^{2}}{256}$$
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