TB Differential Equations & Laplace Transforms | Edition-3 | Pages-336 | Code-1391 |Concept+ Theorems/Derivation + Solved Numericals + Practice Exercise | Text Book

by A.R. Vasishtha

SYLLABUS- DIFFERENTIAL EQUATIONS & LAPLACE TRANSFORMS, Section ADifferential Differential Equations of first order higher degree, Differential equations solvable for p, y and x. Differential Equation of Clairaut’s form, Differential Equations reducible to Clairaut’s form, Singular solutions. Geometrical meaning of a differential equation of first order, Differential equation oforthogonal trajectories, Linear differential equations with constant coefficients. Homogeneous linear differential equations, Differential equations reducible to the homogeneous linear form, Simultaneous differential equations.Section BLinear differential equations of second order with variable coefficients,Transformations of differential equations by changing the depended andindependent variables. Method of variation of parameters. Total differentialequations.Laplace Existence theorem for Laplace transforms. Properties ofLaplace transforms, Laplace transforms of derivatives and integrals, Laplacetransforms of unit step and Dirac Delta functions, Inverse Laplace transform,Properties of Inverse Laplace transforms, Inverse Laplace transforms of derivativesand integrals, Convolution Theorem, Solutions of ordinary differential equationsusing Laplace transform, Solutions of simultaneous differential equations usingLaplace transform.

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Published May 23, 2021