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8.3E: Solución de Problemas de Valor Inicial (Ejercicios)
https://espanol.libretexts.org/Matematicas/Ecuaciones_diferenciales/Libro%3A_Ecuaciones_diferenciales_elementales_con_problemas_de_valor_l%C3%ADmite_(trinchera)/08%3A_Laplace_transforma/8.03%3A_Soluci%C3%B3n_de_problemas_de_valor_inicial/8.3E%3A_Soluci%C3%B3n_de_Problemas_de_Valor_Inicial_(Ejercicios)
2. $y''-y'-6y=2, \quad y(0)=1,\quad y'(0)=0$ 3. $y''+y'-2y=2e^{3t}, \quad y(0)=-1,\quad y'(0)=4$ 5. $y''+y'-2y=e^{3t}, \quad y(0)=1,\quad y'(0)=-1$ 7. \(y''+y=\sin2t, \quad y(0)=0,\quad y'(0)=1\...2. $y''-y'-6y=2, \quad y(0)=1,\quad y'(0)=0$ 3. $y''+y'-2y=2e^{3t}, \quad y(0)=-1,\quad y'(0)=4$ 5. $y''+y'-2y=e^{3t}, \quad y(0)=1,\quad y'(0)=-1$ 7. $y''+y=\sin2t, \quad y(0)=0,\quad y'(0)=1$ 12. $y''+y'-2y=-4, \quad y(0)=2,\quad y'(0)=3$ 14. $y''-y'-6y=2, \quad y(0)=1,\quad y'(0)=0$ 18. $y''+y'=2e^{3t}, \quad y(0)=-1,\quad y'(0)=4$ 20. $y''+y=t, \quad y(0)=0,\quad y'(0)=2$ 31. $y''+4y'+5y=e^{-t}(\cos t+3\sin t), \quad y(0)=0,\quad y'(0)=4$

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