Differential Equations Including Calculus of Variations by Laxmi Publications

Contents:

SECTION I
1.   Series Solution of Differential Equations
2.   Legendre Equation
3.   Bessel Equation
4.   Hypergeometric Equation
5.   Sturm-Liouville Problems
SECTION II
6.   Laplace Transformation
7.   Inverse Laplace Transforms
8.   Solution of Integral Equations Using Laplace Transformation
9.   Solution of System of Differential Equations Using the Laplace Transformation
SECTION III
10. Partial Differential Equations
11. Partial Differential Equations of the First Order (Equations Linear in p and q)
12. Partial Differential Equations of the First Order (Equations Non-linear in p and q)
13. Homogeneous Linear Partial Differential Equations with Constant Coefficients
14. Non-homogeneous Linear Partial Differential Equations with Constant Coefficients
15. Partial Differential Equations Reducible to Equations with Constant Coefficients
16. Monge's Methods
SECTION IV
17. Variation Problems with Fixed Boundaries
18. Variation Problems with Moving Boundaries
19. Sufficient Conditions for an Extremum
      Examination Papers