DIFFERENTIAL EQUATIONS AND TRANSFORMS
ALL TOPICS TO COVER IN DIFf. eqt.
> Second order non- homogenous differential equation with constant coefficients
> *Differential equations with variable coefficients
> *Method of undetermined coefficients- Method of
Variation of parameters
> Solving Damped forced oscillations and LCR circuit theory
problems
> Formation of partial differential equations
> *Solutions of standard types of first order partial differential equations
> *Lagrange’s linear equation-Method of separation of variables
> Properties of Laplace transform-Laplace transform of standard functions
> *Laplace transform of periodic functions
> *Inverse Laplace transform
> Partial fractions method and by Convolution theorem
> *Solution of ODE’s
> Non-homogeneous terms involving Heaviside function
> Impulse function – Solving Non-homogeneous system using Laplace transform
> *Solution to First order PDE by Laplace transform.
> *Fourier series
> *Euler’s formulae
> *Change of interval
> *Half range series
> *RMS value– Parseval’s identity
> *Complex Fourier transform – properties
> *Relation between Fourier and Laplace Transforms
> *Fourier sine and cosine transforms
> Convolution Theorem and simple
applications to solve PDE.
> *Z-transform and Inverse Z-transform
> Standard functions
> *Partial fractions and convolution method
> Difference equation
> *First and second order difference equations with constant coefficients
> Solution of simple difference equations using Z-transform.
***The topics that are (*topic) marked are very important for your university exam point of view.
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