Ecuación diferencial d^2*y/((d*x^2))-4(dy/dx)+20y=(2x+8)*e^(5x)
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
/ 3*x 3*x\
|188*e 2*x*e | 2*x
y(x) = |-------- + C1*sin(4*x) + C2*cos(4*x) + --------|*e
\ 625 25 /
$$y{\left(x \right)} = \left(C_{1} \sin{\left(4 x \right)} + C_{2} \cos{\left(4 x \right)} + \frac{2 x e^{3 x}}{25} + \frac{188 e^{3 x}}{625}\right) e^{2 x}$$
Clasificación
nth linear constant coeff undetermined coefficients
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