Maths-2
Diffrential Equations
Series Solution and Special Functions
Laplace Transform
Fourier Series and Partial Differential Equations
Applications of Partial Differential 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
- 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
- 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