⑴ matlab姹傚井鍒
瑙:涓惧嚑涓瑙寰鍒嗘柟绋镄勪緥瀛
甯屾湜鍙浠ュ府鍒颁綘
⑵ 濡备綍姹傝В寰鍒嗘柟绋嬬粍
鐢ㄥ懡浠わ细dsolve('S','s1','s2',钬,'x')
鍏朵腑S 涓烘柟绋媠1,s1,s3,钬︿负鍒濆嬫浔浠秞 涓鸿嚜鍙橀噺鏂圭▼S 涓鐢― 琛ㄧず姹傚
鏁瘅2,D3,钬﹁〃绀轰簩阒朵笁阒剁瓑楂橀桩瀵兼暟鍒濆嬫浔浠剁己鐪佹椂缁椤嚭甯︿换镒忓父鏁
C1,C2,..镄勯氲В镊鍙橀噺缂虹渷鍊间负t 涔熷彲姹傝В寰鍒嗘柟绋嬬粍
渚
1銆乨solve('Dy=1+y^2')
缁撴灉ans =tan(t+C1)
2銆乱=dsolve('Dy=1+y^2','y(0)=1','x')
缁撴灉y =tan(x+1/4*pi)
3銆亁=dsolve('D2x+2*D1x+2*x=exp(t)','x(0)=1','Dx(0)=0')
缁撴灉x =1/5*exp(t)+3/5*exp(-t)*sin(t)+4/5*exp(-t)*cos(t)
4銆丼=dsolve('Df=3*f+4*g','Dg=-4*f+3*g') %瑙e井鍒嗘柟绋嬬粍
S =
f: [1x1 sym]
g: [1x1 sym]
璁$畻缁撴灉杩斿洖鍦ㄤ竴涓缁撴瀯 S 涓涓轰简鐪嫔埌鍏朵腑 f,g 镄勫兼湁濡备笅鎸囦护
f=S.f
g=S.g
f =exp(3*t)*(cos(4*t)*C1+sin(4*t)*C2)
g =-exp(3*t)*(sin(4*t)*C1-cos(4*t)*C2)