Difference equation with variable coefficients in MATLAB

1. How do you solve differential equations with variable coefficients?
2. How do you compare two equations in MATLAB?
3. How do you solve for coefficients in MATLAB?
4. How do you find the solution of a difference equation in MATLAB?

How do you solve differential equations with variable coefficients?

The solution of the second-order linear differential equation with variable coefficients can be determined using the Laplace transform. In particular, when the equations have terms of the form t^my⁽ⁿ⁾(t), its Laplace transform is (– 1)^m d^m/ds[Ly⁽ⁿ⁾(t)].

How do you compare two equations in MATLAB?

To check whether the mathematical comparison A == B holds for all values of variables in A and B , use isAlways(A == B) .

How do you solve for coefficients in MATLAB?

C = coeffs( p ) returns coefficients of the polynomial p with respect to all variables determined in p by symvar . C = coeffs( p , var ) returns coefficients of the polynomial p with respect to the variable var .

How do you find the solution of a difference equation in MATLAB?

Represent the derivative by creating the symbolic function Dy = diff(y) and then define the condition using Dy(0)==0 . syms y(x) Dy = diff(y); ode = diff(y,x,2) == cos(2*x)-y; cond1 = y(0) == 1; cond2 = Dy(0) == 0; Solve ode for y . Simplify the solution using the simplify function.