| Introduction |
Basic Conceptions
| First-Order Differential Equations |
Directly Integrable Equations
Motion of a Body - Problem 1
Motion of a Body - Problem 2
Motion of a Body - Problem 3
The Spontaneous Radioactive of Substance
Separable Equations
Motion of Particals in Viscous Fluid
Newton's Model of Cooling
Model of Population
Homogeneous Equations
Linear Equations
Bernoulli Equations
Exact Differential Equations
| Differential Equations of Higher Orders |
Basic Conceptions
Equations of Special Kinds
Some Graphic Illustrations using MATLAB
| Directly Integrable Equations |
The simplest differential equation is a directly integrable equation
y' = f (x),
where f (x) is a given function.
Since y (x) is a primitive of f (x), the general solution of the equation has the form
.
Constant C can be determined if the initial condition is given.
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