DIFFERENTIAL EQUATIONS
Introduction to differential equations
First order differential equations
Second order differential equations
Introduction to differential equations
- Formulate a differential equation
- State the order of a differential equations
- State the degree of a differential equation
- Distinguish between a linear and nonlinear differential equation
- Solution to a differential equation.
- Verify a solution to a given differential equation
- Solve simple differential equations by direct integration
First order differential equations
- Write the differential equation in standard differential form
- Write the form of first order differential equation with separable variables
- Solve first order differential equations with separable variable
- Solve first order homogeneous differential equations
- Define an exact differential equation
- Solve the exact differential equation
- Find integrating factors
- Solve non – exact differential equation using integrating factors
- Apply differential equations in solving simple real life problems
Second order differential equations
- Distinguish between homogeneous and non homogeneous 2nd order differential equations
- Find the characteristic (auxiliary) equation for a homogeneous D.E.
- Find roots of the characteristic equation for homogeneous D.E and use the roots to determine the solutions to a homogeneous D.E.
- Solve 2nd order differential equation reducible to 1st order
- Solve non homogeneous 2nd order differential equation
- Apply 2nd order differential equation to solve real life problems