º¯Êý³ÌÐò´úÂ룺 syms x y s s=x+i*y;
FFs=[2*(s-3)*(s+3)]/[(s-5)*(s^2+16)]; FFss=abs(FFs); ezmesh(FFss); ezsurf(FFss); colormap(hsv); ÔËÐнá¹û½ØÍ¼£º
ÇóÔº¯ÊýµÄ³ÌÐò´úÂ룺 syms t s
Fs =sym('[2*(s-3)*(s+3)]/[(s-5)*(s^2+16)]') ft=ilaplace(Fs) Ôº¯Êý£º
ft = (50*cos(4*t))/41 + (32*exp(5*t))/41 + (125*sin(4*t))/82 ¢ÚF(s)?(s?1)(s?3)
s(s?2)(s?5)º¯Êý³ÌÐò´úÂ룺 syms x y s s=x+i*y;
FFs=[(s+1)*(s+3)]/[s*(s+2)*(s+5)]; FFss=abs(FFs); ezmesh(FFss); ezsurf(FFss); colormap(hsv); ÔËÐнá¹û½ØÍ¼£º
ÇóÔº¯ÊýµÄ³ÌÐò´úÂ룺 syms t s
Fs =sym('[(s+1)*(s+3)]/[s*(s+2)*(s+5)]') ft=ilaplace(Fs) Ôº¯Êý£º
ft = exp(-2*t)/6 + (8*exp(-5*t))/15 + 3/10
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(1)ÀÊϱ任£º ³ÌÐò´úÂ룺 syms t s
ft=sym('cos(2*pi*t)*(Heaviside(t)-Heaviside(t-4))');
Fs=laplace(ft) ÔËËã½á¹û£º
F(s)=laplace(Heaviside(t), t, s-pi*2i)/2 + laplace(Heaviside(t), t, s+pi*2i)/2 - laplace(Heaviside(t - 4), t, s - pi*2i)/2 - laplace(Heaviside(t - 4), t, s + pi*2i)/2
(2)¸µÀïÒ¶±ä»»£º ³ÌÐò´úÂ룺 syms t w
Gt=sym('cos(2*pi*t)*(Heaviside(t)-Heaviside(t-4))'); Fw=fourier(Gt) ÔËËã½á¹û£º F(w) = fourier(cos(2*pi*t)*Heaviside(t), t, w) - fourier(Heaviside(t - 4)*cos(2*pi*t), t, w)
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