Sr Examen
Ecuación diferencial y'''-4y''=32-384x^2
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Solución
Ha introducido
[src]
2 3
d d 2
- 4*---(y(x)) + ---(y(x)) = 32 - 384*x
2 3
dx dx
$$- 4 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 32 - 384 x^{2}$$
-4*y'' + y''' = 32 - 384*x^2
Respuesta
[src]
2 3 4 4*x y(x) = C1 + 2*x + 8*x + 8*x + C2*x + C3*e
$$y{\left(x \right)} = C_{1} + C_{2} x + C_{3} e^{4 x} + 8 x^{4} + 8 x^{3} + 2 x^{2}$$
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