Sr Examen
Ecuación diferencial y'''+64*y=-2*sin(4*x)+cos(4*x)-5*e^(4*x)-x^2
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Solución
Ha introducido
[src]
3
d 2 4*x
64*y(x) + ---(y(x)) = - x - 5*e - 2*sin(4*x) + cos(4*x)
3
dx
$$64 y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = - x^{2} - 5 e^{4 x} - 2 \sin{\left(4 x \right)} + \cos{\left(4 x \right)}$$
64*y + y''' = -x^2 - 5*exp(4*x) - 2*sin(4*x) + cos(4*x)
Respuesta
[src]
4*x 2
5*e 3*sin(4*x) x cos(4*x) -4*x / / ___\ / ___\\ 2*x
y(x) = - ------ - ---------- - -- - -------- + C3*e + \C1*sin\2*x*\/ 3 / + C2*cos\2*x*\/ 3 //*e
128 128 64 128
$$y{\left(x \right)} = C_{3} e^{- 4 x} - \frac{x^{2}}{64} + \left(C_{1} \sin{\left(2 \sqrt{3} x \right)} + C_{2} \cos{\left(2 \sqrt{3} x \right)}\right) e^{2 x} - \frac{5 e^{4 x}}{128} - \frac{3 \sin{\left(4 x \right)}}{128} - \frac{\cos{\left(4 x \right)}}{128}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral