Chapter 17 of 27
Important Topics
Differential Equations — Important Topics
MHT-CET · Mathematics
Most important topics from Differential Equations for MHT-CET Mathematics. Focus on these high-weightage areas for maximum score.
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Topics covered in Differential Equations for MHT-CET Mathematics.
Topics in Differential Equations
1
Basic Concepts and Definitions
- A differential equation involves derivatives of dependent variables with respect to independent variables
- Order is determined by the highest derivative present
- Degree is the power of the highest order derivative (when polynomial form)
2
Formation of Differential Equations
- To form differential equation from general solution, differentiate and eliminate arbitrary constants
- Number of differentiations = number of arbitrary constants
- Final equation should be free from arbitrary constants
3
Variable Separable Method
- Applicable when equation can be written as dy/dx = f(x)g(y)
- Separate variables: dy/g(y) = f(x)dx
- Integrate both sides and add constant of integration
4
Homogeneous Differential Equations
- Equation of form dy/dx = f(x,y)/g(x,y) where f,g are homogeneous functions of same degree
- Substitute y = vx, so dy/dx = v + x(dv/dx)
- Equation becomes separable in variables v and x
Key Concepts
A differential equation is an equationUsed when dy/dx = f(x)g(y)When dy/dx = F(y/x)Form
Frequently Asked Questions
What topics are covered in Differential Equations for MHT-CET?
Differential Equations is an important chapter in MHT-CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts and Definitions, Formation of Differential Equations, Variable Separable Method, Homogeneous Differential Equations.
How important is Differential Equations for MHT-CET?
Differential Equations is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 328 practice questions available for this chapter.
How to prepare Differential Equations for MHT-CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.
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