Ordinary Differential Equations (ODE) by Hammad Safi
An equation containing the derivatives of one or more dependent variables with respect to one or more independent variables is said to be a differential equation or a differential equation is an equation which contains one or more terms and derivatives of one or more dependent variables with respect to other variables (independent variables) or an equation that contains derivatives of dependent variables with respect to the independent variables.
- Name: Ordinary Differential Equations
- Author: Hammad Ali Khan Safi
- Pages: 211 pages
- Format: PDF
- Size: 11.1 MB
Contents & Summary
- Differential Equations (DE)
- Definition, Examples
- Classification by Types
- Order of DE, Degree of ODE
- Solution of ODE, Formation of ODE
- First Order & First Degree DE
- Separable Equations
- Initial Value Problem
- Differential Equations Reducible to Variable Separable Method
- Homogeneous Differential Equations
- Homogeneous Function
- Differential Equations Reducible to Homogeneous Differential Equations
- Exact Differential Equations
- Some Important Formulae of DEs
- DE Reducible to Exact Form
- Linear Equation of Order 1
- The Bernoulli Equation
- 1st ORder Non-linear ODEs
- Clairaut's Equation
- Singular Solutions
- Ricatti Equation
- Orthogonal Trajectories
- Orthogonal Trajectories in Polar Form