Advanced mathematics Chapter 7 differential equations

Advanced mathematics Chapter 7 differential equations

1 Equations of separable variables

2 Homogeneous differential equation

3 First order linear differential equation

4 Bernoulli equation and total differential equation

5 Solving initial value problems of differential equations

6 When a first order linear differential equation encounters e^x

7 When a homogeneous differential equation encounters arctanx And tanx Transformation

8x and y Inverted first order linear differential equation

9 Reducible equation

10 Examples of reducible equations

11 Higher order linear differential equations

12 Homogeneous differential equations with constant coefficients

If it is to ask for y The expression of ,x The expression of , That is the equation of separable variables , Homogeneous equation , linear equation
If it is a general solution , That is the second differential equation with constant coefficients

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14 Indefinite integrals are combined with first-order linear differential equations

I never thought of that , Using the method of twice changing element integral can also play a simplification effect , I learned. I learned .

15 Unequal real roots of homogeneous differential equations with constant coefficients and e^x

16 How to solve a nonhomogeneous linear equation from its special solution

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