用拉氏变换求方程特解 s^2 Y(S)-sy(0)-y'(0)+2sY(S)-3Y(S)=1/(s+1)s^2 Y(S)-1+2sY(S)-3Y(S)=1/(s+1)Y(S)=(s+2)/(s^2+2s-3)(s+2)/[(s-3)(s+1)](5/4)/(s-3)+(-1/4)/(s+1)y(t)=(5/4)e^3t+(-1/4)e^-t
电路原处稳定，Uc(0-)=0，开关S于t=0时闭合，试用拉氏变换法求Uc(t)，Ic(t)
用拉氏变换解下列微分方程 L[y''+3y]=L[y'']+L[3y]=sy'(s)-y(0)+3y(s)=8/ssy'(s)+3y(s)=8/s+2解出该一阶微分方程再逆变换回去.可解出y(s)=(4s^2+(2s^3)/3)/s^3+C/s^3L-1[y(s)]=4+1/2x^2 C+(2DiracDelta[x])/3
