Differential Equations, Volume 1 |
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CHAPTER | 1 |
Applications of differential equations | 2 |
Definitions | 3 |
Copyright | |
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arbitrary constants arbitrary function auxiliary equation ax² C-discriminant C₁ C₁e C₂ C₂e CHAPTER complete solution computation constant coefficients derivatives determined dx dx dx dy dy dx dy/dx elimination envelope equa equation f(x exact differential exact equation EXAMPLE EXERCISES Find the equation Find the value formula function u(x given equation Hence the solution independent variables integral curves Integrand integrating factor intermediate integral linear equation m₁ method obtained ordinary differential equation partial differential equation particular integral Polynomial primitive relation result root second member SECTION Simpson's rule sin x sin² singular solutions substitution tangent theorem tion total differential equation written x²y x³y² xy² y)dx y₁ y²)dx zero аф әм ди ди дх მე მყ მყ