Sr Examen
Ecuación diferencial 5*y+2*y'+y''=sin6x-sin4x
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Solución
Ha introducido
[src]
2
d d
2*--(y(x)) + 5*y(x) + ---(y(x)) = -sin(4*x) + sin(6*x)
dx 2
dx
$$5 y{\left(x \right)} + 2 \frac{d}{d x} y{\left(x \right)} + \frac{d^{2}}{d x^{2}} y{\left(x \right)} = - \sin{\left(4 x \right)} + \sin{\left(6 x \right)}$$
5*y + 2*y' + y'' = -sin(4*x) + sin(6*x)
Respuesta
[src]
31*sin(6*x) 12*cos(6*x) 8*cos(4*x) 11*sin(4*x) -x
y(x) = - ----------- - ----------- + ---------- + ----------- + (C1*sin(2*x) + C2*cos(2*x))*e
1105 1105 185 185
$$y{\left(x \right)} = \left(C_{1} \sin{\left(2 x \right)} + C_{2} \cos{\left(2 x \right)}\right) e^{- x} + \frac{11 \sin{\left(4 x \right)}}{185} - \frac{31 \sin{\left(6 x \right)}}{1105} + \frac{8 \cos{\left(4 x \right)}}{185} - \frac{12 \cos{\left(6 x \right)}}{1105}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral