Elementary Differential Equations |
Contents
Definitions Elimination of Arbitrary Constants 1 Examples of differential equations 2 Definitions | 1 |
The elimination of arbitrary constants | 5 |
Families of curves | 9 |
Copyright | |
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a₁ appear applied arbitrary constants assume auxiliary equation c₁ c₂ called Chapter choose circuit coefficients complex compute Consider contains convergence corresponding cos x cosh curve dependent derivatives desired determine differential equation direction equal EXAMPLE EXERCISES exists factor Figure finite follows force formula Fourier series function given heat Hence homogeneous independent variable indicated initial instance integral interval involving leads linear linearly lines method motion Note numerical obtain once operator original particular solution positive problem relation replaced result roots satisfy seen Show shown sin x singular point sinh solution of equation Solve the equation ẞt Suppose temperature term tion valid weight write written x²y y₁ yields zero