I need to solve four differential equation with four unknown variable simltaneously . how can i do that in matlab?

four differential equation are:-

dA/dt = 3*(K4*B - K3*A^2*D^3 )+constant

dB/dt = K3*A^2*D^3 - K4*B

dC/dt = K1*D^n - K2*C

dD/dt = K1*D^n + K2*C + 2*(K4*B - K3*A^2*D^3)

4 unknown variable = A,B,C,D

and all K and n are constant.

initial condition :- A(t=0) = 0; B(t=0) = 0; C(t=0) = 0; D(t=0) = 12;

time range (0 to 48 hrs)

time interval = 1hrs

i need a graph of A,B,C,d with time .

[Walter Roberson]

You need to define what it means to "optimize" those things.

Is the +constant a known constant?

Answer 1

[Star Strider]

See: Optimizing a Simulation or Ordinary Differential Equation

Answer 2

[Matt J]

In all likelihood, your problem description is incomplete. As written currently, the problem has the trivial solution,

K1=K2=K3=K4=n=0

A(t)=12
B(t)=0
C(t)=0
D(t)=t*constant