Differential Equations |
Contents
CHAPTER ONE PRELIMINARY CONCEPTS 1 Introduction | 1 |
Ordinary differential equations | 2 |
Solution of a differential equation | 3 |
Copyright | |
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amount angle applied approximate arbitrary constant assumed axis becomes C₁ c₂ called coefficients completely condition consider constant contains cos x curve defined dependent derivatives determined differential equation equal exact EXAMPLE Exercise expression feet flows force formulas function gallons given gives Hence identically independent variable initial integrating factor k₁ left member linear m₁ method minutes motion multiplication obtained operator original partial particular integral particular solution point of contact positive pounds Problems proportional radius readily replaced respect right member roots salt satisfy Show shown sin x slope Solve substance substitution takes tangent tank temperature tion trajectories values written x²y y₁ zero