What is the difference between solving high-priced differential equations in advanced mathematics and matlab? Differential equation is the basis of dynamic system modeling. This paper introduces the analytical solutions of differential equations.

We have learned in advanced mathematics that linear differential equations with constant coefficients have analytical solutions.

The general mathematical expression of linear differential equations with constant coefficients is:

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We can understand the differential equation as a dynamic system, where U is the input signal and Y is the output signal. What we need most is the analytical solution of y. ..

Dsolve function:

y=dsolve('eqn 1 '，' eqn2 '，…，' cond 1 '，' cond2 '，…，' var ')

Eqni represents the equation, condi represents the initial value, var represents the independent variable in the differential equation, and the system defaults to T. ..

D stands for differential sign, D2 stands for second-order differential, and D3 stands for third-order differential.

Example 1: