A differential equation links a function to its rate of change. This course forms such equations and solves the three standard first-order types.
The course follows the NCERT Class 12 Mathematics chapter Differential Equations and has 2 lessons. Each lesson explains the ideas with worked examples and ends with practice questions and full answers. The numbers in every example and question are our own, so the lessons can be used alongside the textbook exercises.
- Differential Equations and Separable Variables — Order and degree, general and particular solutions, forming equations, variables separable, and growth and decay.
- Homogeneous and Linear Equations, with Mixed Practice — Homogeneous equations by substitution, linear equations by integrating factor, applications, and mixed practice.
By the end you will be able to:
- Find the order and degree of a differential equation.
- Form an equation by eliminating constants.
- Solve separable and homogeneous equations.
- Solve linear equations with an integrating factor.