matlab求解微分方程解析解

解析解

1求解微分方程方程组用函数“dsolve”
dsolve(‘方程1’,‘方程2’…‘方程n’,‘初始条件’,‘自变量’)

clc,clear
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%求解du/dt=i+u^2的通解
dsolve('Du=1+u^2','t')
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%求解微分方程组   dy^2/dx^2+4*dy/dx+29*y=0,y(0)=0,y`(0)=15;的通解
y=dsolve('D2y+4*Dy+29*y=0','y(0)=0,Dy(0)=15','x')
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%求解微分方程组   dx/dt=2*x-3*y+3*z,dy/dt=4*x-5*y+3*z,dz/dt=4*x-4*y+2*z;的通解
[x,y,z]=dsolve('Dx=2*x-3*y+3*z,Dy=4*x-5*y+3*z,Dz=4*x-4*y+2*z','Dz=4*x-4*y+2*z','t')

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