# Partial Differential Equations

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Name | Partial Differential Equations |
---|---|

Provider | Mr. Muzammil Tanveer |

Pages | 173 pages |

Format | PDF (see Software section for PDF Reader) |

Size | 1.21MB |

### Contents & Summary

- Differential Equations
- Types of Differential Equations
- Ordinary Differential Equations
- Partial Differential Equations
- Method of separation of variable or product method or Fourier method
- Some Eigen values and Eigen function
- Solution of Non-Homogeneous Equation
- Solution of Homogeneous Equation
- Laplace Equation
- Polar form of Laplace Equation
- Canonical form/ Normal form / Standard form
- General Transform
- Jacobian Transformation
- Canonical form of Hyperbolic equation
- Canonical form or Normal form of Parabolic equation
- Canonical form of Elliptic equation
- Gamma Function
- Piecewise Continuous function
- Laplace Transform
- Linearity Property
- First Shifting property
- Second Shifting property
- Inverse Laplace transform
- Convolution for Laplace transformation
- Convolution Theorem
- Fourier Transform
- Fourier Transform of Gaussian function
- Contour Integration
- Attenuation property
- Fourier Transformation derivatives of a function
- Fourier Sine and Cosine Transform
- Fourier Sine and Cosine Transform of derivatives
- Convolution form Fourier Transform

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