Sr Examen
Ecuación diferencial y''-15y'+36y=-6e^(3x)-2cos(2x)
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Solución
Ha introducido
[src]
2
d d 3*x
- 15*--(y(x)) + 36*y(x) + ---(y(x)) = - 6*e - 2*cos(2*x)
dx 2
dx
$$36 y{\left(x \right)} - 15 \frac{d}{d x} y{\left(x \right)} + \frac{d^{2}}{d x^{2}} y{\left(x \right)} = - 6 e^{3 x} - 2 \cos{\left(2 x \right)}$$
36*y - 15*y' + y'' = -6*exp(3*x) - 2*cos(2*x)
Respuesta
[src]
16*cos(2*x) 15*sin(2*x) 12*x / 2*x\ 3*x
y(x) = - ----------- + ----------- + C2*e + |C1 + ---|*e
481 481 \ 3 /
$$y{\left(x \right)} = C_{2} e^{12 x} + \left(C_{1} + \frac{2 x}{3}\right) e^{3 x} + \frac{15 \sin{\left(2 x \right)}}{481} - \frac{16 \cos{\left(2 x \right)}}{481}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral