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  • Applications of Partial Differential Equations
    • Method of Separation of Variables For PDE
    • Wave Equation
    • Laplace's Equation
    • Heat Conduction Equation
    • Transmission Line Equations
    • Parsevals Identities
    • Heisenberg's Inequaity
    • Problems on Application of Partial Differential Equation

  • Fourier Series and Partial Differential Equations
    • Fourier Series
    • Convergence of Fourier Series
    • Integration of Fourier Series
    • Periodic Functions
    • Period of Multiple Function
    • Fourier Coefficients
    • Confirming the Fourier Coefficient Formulas
    • Properties of the Fourier Series
    • Euler Method
    • Partial Differentiation
    • General Interval
    • Half Range Fourier Series
    • Even and Odd Function
    • Fourier Series of Functions with Arbitrary Periods
    • Trigonometric Polynomials
    • Inverse Fourier Transforms
    • Theorem on Inverse Fourier Transform
    • Hyperbolic Equation with Constant Coefficients
    • Parabolic and Elliptic Equation with Constant Coefficients
    • Orthogonal Function of Fourier Series

  • Laplace Transform
    • Laplace Transform
    • Laplace Transforms of Standard Function
    • Problems on Laplace Transformation
    • Laplace Transformation on Integral Function
    • Problems Laplace Transformation on Integral Function
    • Laplace Transform of Periodic Function
    • Problems on Laplace Transformation on Periodic Function
    • Inverse Laplace Transforms
    • Properties of Inverse Laplace Transform
    • Problems on Inverse Laplace Transform
    • Laplace Transforms of Unit Step Function
    • Laplace Transforms of Unit Impulse Function
    • Problems on Laplace Transforms of Unit Step Function
    • Dirac Delta Generalized Function
    • Convolution Theorem
    • Problems on Convolution Theorem
    • Laplace Transforms of the Derivatives
    • Solution of Linear Differential equations
    • Problems on Solution of Linear Differential Equations
    • Problems on Solution of Simultaneous Differential Equation

  • Series Solution and Special Functions
    • Second Order ODE with Variable Coefficients
    • Problems on Frobenius Series Solution
    • Bessel Equation
    • Bessel function of Second Kind
    • Properties of Bessel Function
    • Properties of Legendre Polynomials
    • Orthogonality of Legendre Polynomials

  • Diffrential Equations
    • Ordinary Differential Equation
    • Problems on Differential Equation
    • Method of Variation of Parameter
    • Cauchy's Homogeneous Linear Equation
    • Problems on Euler's Equation
    • Legendre Linear Equation
    • Linear Equation with Constant Coefficients
    • Inverse Differential Operator and Particular Integral
    • Special Form of X in Differential Equation
    • Problems on Special Form of X in Differential Equation
    • Method of Undetermined Coefficients
    • Problems on Method of Undetermined Coefficients
    • Simultaneous Differential Equations
    • Solution of Initial and Boundary Value Function
    • Additional Problems on Differential Equations

Branch : First Year-Engineering Syllabus | Subject : Maths-2
Diffrential Equations
  • Ordinary Differential Equation

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  • Problems on Differential Equation

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  • Method of Variation of Parameter

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  • Cauchy's Homogeneous Linear Equation

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  • Problems on Euler's Equation

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  • Legendre Linear Equation

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  • Linear Equation with Constant Coefficients

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  • Inverse Differential Operator and Particular Integral

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  • Special Form of X in Differential Equation

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  • Problems on Special Form of X in Differential Equation

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  • Method of Undetermined Coefficients

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  • Problems on Method of Undetermined Coefficients

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  • Simultaneous Differential Equations

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  • Solution of Initial and Boundary Value Function

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  • Additional Problems on Differential Equations

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