-D*X1+U*X1=dX1/dt,D*(R-X2)-)*B*X1/A=dX2/dt 初始条件t[0,t]; X1[0,X1]; X2[0,X2]D,R,A,B均为常数项求X1,X2第二的方程有笔误,正确的应该是D*(R-X2)-B*X1/A=dX2/dt
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![-D*X1+U*X1=dX1/dt,D*(R-X2)-)*B*X1/A=dX2/dt 初始条件t[0,t]; X1[0,X1]; X2[0,X2]D,R,A,B均为常数项求X1,X2第二的方程有笔误,正确的应该是D*(R-X2)-B*X1/A=dX2/dt](/uploads/image/z/14301884-20-4.jpg?t=-D%2AX1%2BU%2AX1%3DdX1%2Fdt%2CD%2A%28R-X2%29-%29%2AB%2AX1%2FA%3DdX2%2Fdt+%E5%88%9D%E5%A7%8B%E6%9D%A1%E4%BB%B6t%5B0%2Ct%5D%3B+X1%5B0%2CX1%5D%3B+X2%5B0%2CX2%5DD%2CR%2CA%2CB%E5%9D%87%E4%B8%BA%E5%B8%B8%E6%95%B0%E9%A1%B9%E6%B1%82X1%2CX2%E7%AC%AC%E4%BA%8C%E7%9A%84%E6%96%B9%E7%A8%8B%E6%9C%89%E7%AC%94%E8%AF%AF%2C%E6%AD%A3%E7%A1%AE%E7%9A%84%E5%BA%94%E8%AF%A5%E6%98%AFD%2A%28R-X2%29-B%2AX1%2FA%3DdX2%2Fdt)
-D*X1+U*X1=dX1/dt,D*(R-X2)-)*B*X1/A=dX2/dt 初始条件t[0,t]; X1[0,X1]; X2[0,X2]D,R,A,B均为常数项求X1,X2第二的方程有笔误,正确的应该是D*(R-X2)-B*X1/A=dX2/dt
-D*X1+U*X1=dX1/dt,
D*(R-X2)-)*B*X1/A=dX2/dt
初始条件t[0,t]; X1[0,X1]; X2[0,X2]
D,R,A,B均为常数项
求X1,X2
第二的方程有笔误,正确的应该是D*(R-X2)-B*X1/A=dX2/dt
-D*X1+U*X1=dX1/dt,D*(R-X2)-)*B*X1/A=dX2/dt 初始条件t[0,t]; X1[0,X1]; X2[0,X2]D,R,A,B均为常数项求X1,X2第二的方程有笔误,正确的应该是D*(R-X2)-B*X1/A=dX2/dt
>> [X1,X2]=dsolve('-d*X1+U*X1=DX1','d*(R-X2)*B*X1/A=DX2')
X1 =
C2*exp((-d+U)*t)
X2 =
(R*exp(d*B/A*C2/(-d+U)*exp((-d+U)*t))+C1)*exp(-d*B/A*C2/(-d+U)*exp((-d+U)*t))
或者
clc;clear
[X1,X2]=dsolve('-d*X1+U*X1=DX1','d*(R-X2)*B*X1/A=DX2')
C2=solve(X1-'X1','C2')
X2=subs(X2)
C1=solve(X2-'X2','C1')
X1=subs(X1)
X2=subs(X2)
结果:
X1 =
X1
X2 =
(R*exp(d*B/A*X1/(-d+U))-(exp(-d*B/A*X1/(-d+U))*R*exp(d*B/A*X1/(-d+U))-X2)/exp(-d*B/A*X1/(-d+U)))*exp(-d*B/A*X1/(-d+U))