matlab 二元微分方程的特解问题?[x1,x2]=dsolve('D2x1+200*x1-100*x2=0,D2x2-100*x1+200*x2=0')输入这个出来x1 = C1*sin(10*t)+C2*cos(10*t)+C3*sin(10*3^(1/2)*t)+C4*cos(10*3^(1/2)*t)x2 = C1*sin(10*t)+C2*cos(10*t)-C3*sin(10*3^(1/2)*t)-C4*cos(1
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![matlab 二元微分方程的特解问题?[x1,x2]=dsolve('D2x1+200*x1-100*x2=0,D2x2-100*x1+200*x2=0')输入这个出来x1 = C1*sin(10*t)+C2*cos(10*t)+C3*sin(10*3^(1/2)*t)+C4*cos(10*3^(1/2)*t)x2 = C1*sin(10*t)+C2*cos(10*t)-C3*sin(10*3^(1/2)*t)-C4*cos(1](/uploads/image/z/1157101-61-1.jpg?t=matlab+%E4%BA%8C%E5%85%83%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%E7%9A%84%E7%89%B9%E8%A7%A3%E9%97%AE%E9%A2%98%3F%5Bx1%2Cx2%5D%3Ddsolve%28%27D2x1%2B200%2Ax1-100%2Ax2%3D0%2CD2x2-100%2Ax1%2B200%2Ax2%3D0%27%29%E8%BE%93%E5%85%A5%E8%BF%99%E4%B8%AA%E5%87%BA%E6%9D%A5x1+%3D+C1%2Asin%2810%2At%29%2BC2%2Acos%2810%2At%29%2BC3%2Asin%2810%2A3%5E%281%2F2%29%2At%29%2BC4%2Acos%2810%2A3%5E%281%2F2%29%2At%29x2+%3D+C1%2Asin%2810%2At%29%2BC2%2Acos%2810%2At%29-C3%2Asin%2810%2A3%5E%281%2F2%29%2At%29-C4%2Acos%281)
matlab 二元微分方程的特解问题?[x1,x2]=dsolve('D2x1+200*x1-100*x2=0,D2x2-100*x1+200*x2=0')输入这个出来x1 = C1*sin(10*t)+C2*cos(10*t)+C3*sin(10*3^(1/2)*t)+C4*cos(10*3^(1/2)*t)x2 = C1*sin(10*t)+C2*cos(10*t)-C3*sin(10*3^(1/2)*t)-C4*cos(1
matlab 二元微分方程的特解问题?
[x1,x2]=dsolve('D2x1+200*x1-100*x2=0,D2x2-100*x1+200*x2=0')输入这个出来
x1 = C1*sin(10*t)+C2*cos(10*t)+C3*sin(10*3^(1/2)*t)+C4*cos(10*3^(1/2)*t)
x2 = C1*sin(10*t)+C2*cos(10*t)-C3*sin(10*3^(1/2)*t)-C4*cos(10*3^(1/2)*t)
这个是通解我要求在初始条件
Dx1=0
Dx2=0
x1=1
x2=1
下的特解怎么求啊?求大神指教,程序怎么编?
初始条件都是在t=0的时候!
matlab 二元微分方程的特解问题?[x1,x2]=dsolve('D2x1+200*x1-100*x2=0,D2x2-100*x1+200*x2=0')输入这个出来x1 = C1*sin(10*t)+C2*cos(10*t)+C3*sin(10*3^(1/2)*t)+C4*cos(10*3^(1/2)*t)x2 = C1*sin(10*t)+C2*cos(10*t)-C3*sin(10*3^(1/2)*t)-C4*cos(1
在后面加上初始条件就可以了,试一下:
[x1,x2]=dsolve('D2x1+200*x1-100*x2=0,D2x2-100*x1+200*x2=0','Dx1(0)=0,Dx2(0)=0,x1(0)=1,x2(0)=1')
x1 =
cos(10*t)
x2 =
cos(10*t)
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