Sr Examen
Ecuación diferencial y''''+4y''=2x+1+sin(x)
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Solución
Ha introducido
[src]
2 4
d d
4*---(y(x)) + ---(y(x)) = 1 + 2*x + sin(x)
2 4
dx dx
$$4 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{4}}{d x^{4}} y{\left(x \right)} = 2 x + \sin{\left(x \right)} + 1$$
4*y'' + y'''' = 2*x + sin(x) + 1
Respuesta
[src]
2 3
sin(x) x x
y(x) = C1 - ------ + -- + -- + C2*x + C3*sin(2*x) + C4*cos(2*x)
3 8 12
$$y{\left(x \right)} = C_{1} + C_{2} x + C_{3} \sin{\left(2 x \right)} + C_{4} \cos{\left(2 x \right)} + \frac{x^{3}}{12} + \frac{x^{2}}{8} - \frac{\sin{\left(x \right)}}{3}$$
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