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Equations with undetermined coefficients

Читайте также:
  1. Differential equations
  2. Differential equations of the first and second order. Homogeneous and non-homogeneous linear differential equations
  3. Equations with separable variables
  4. General Equations for Conic Sections
  5. Matrices. Determinants. Systems of linear equations
  6. Non-homogeneous second-order equations
  7. Plane Equations
  8. Procedure for the techniques of undetermined coefficients
  9. Solving systems of linear equations on Cramer's rule
  10. Solving systems of linear equations on Gauss's method
  11. Solving systems of linear equations on matrix method

In the previous section we learnt that solution to the complete linear differential equation is composed of the sum of the complementary function and the particular integral. Techniques for obtaining the complementary function were developed in sections 2.1.4-2.1.6 with many working examples. What remains is only to provide techniques for finding a particular integral in order to obtain a complete solution. In this section we shall discuss the technique called the method of undetermined coefficients.

Although the method of undetermined coefficients is not applicable in all cases, it may be used if the right- hand side ,contains only terms which have a finite number of linearly independent derivatives such as , , , or products of these.


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