MATHEMATICS-DIFFERENTIAL EQUATIONS(HINDI): DIFFERENTIAL EQUATIONS(HINDI)

Unit-2 Laplace transformation, Linearity of the Laplace transformation, Existence theorem for Laplace transforms, Laplace transforms of derivatives and integrals, Shifting theorems, Differentiation and integration of transforms.

Unit-3 Inverse Laplace transforms, Convolution theorem. Applications of Laplace transformation for solving initial value problems of second order linear differential equations with constant coefficient.

Unit-4 Partial differential equations of the first order, Lagrange’s solution, Some special types of equations which can be solved easily by methods other than general methods. Charpit’s general method. 

Unit-5 Partial differential equations of second and higher orders. Classification of partial differential equations of second order, Homogeneous and non-homogeneous equations with constant coefficients. Partial differential equations reducible to equations with constant coefficients. Equation of vibrating string, heat equation, Laplace’s equation and their solutions (Appendix of this book — Chapter 12).