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How to Solve Differential Equation

【微分方程式の解法2】1階同次形

1階同次形と呼ばれる微分方程式の解き方について解説する。登場する変数の次数が等しいため、それらを分数の形にして新たな変数へと変換し、変数分離型へ帰着させることを基本方針とする。その際、分母になる変数が0となる場合を考慮し、場合分けして計算するよう注意する。
How to Solve Differential Equation

Separable Equation [Solution of differential equation Vol. 1]

This section explains how to solve differential equations, called the separable equation. This is the most fundamental way of solving differential equations, and is a concept that you want to be sure to master, as the goal is to attribute the solution of more complex differential equations to this form by transforming the equation.
Mathematics

Logistic equation, derivation and solution

What is the logistic equation? The logistic equation is an ordinary differential equation given by $$\frac{dN}{dt}=rN\le...