Mathematics - II Tuition Classes In Greater Noida Near Alpha Commercial
Differential Equations
Linear differential equations of nth order with constant coefficients, Complementary function and
Particular integral, Simultaneous linear differential equations, Solution of second order differential
equations by changing dependent & independent variables, Normal form, Method of variation of
parameters, Applications to engineering problems (without derivation).
Series Solution and Special Functions
Series solution of second order ordinary differential equations with variable coefficient (Frobenius
method), Bessel and Legendre equations and their series solutions, Properties of Bessel function and
Legendre polynomials.
Laplace Transform
Laplace transform, Existence theorem, Laplace transforms of derivatives and integrals, Initial and final
value theorems, Unit step function, Dirac- delta function, Laplace transform of periodic function,
Inverse Laplace transform, Convolution theorem, Applica

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