Maths Volume-9(Differential Equations)



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Contents

Synopsis of Differential Equations - I


Description: Introduces basic concepts of differential equations, types, and general and particular solutions with simple examples.


Synopsis of Differential Equations - II


Description: Continues with classification and applications of differential equations in physical and geometric contexts.


Order, Degree and Formation of Differential Equations


Description: Defines order and degree; explains formation of differential equations from given functions or families of curves.


Equation in Variable Separable Form


Description: Solves formation problems and explores relation between order, degree, and derivative types.


Homogeneous Differential Equations - I


Description: Introduces homogeneous differential equations and solution method using substitution and variable separation.


Homogeneous Differential Equations - II


Description: Continues solving homogeneous equations with more complex functions and integration techniques.


Homogeneous Differential Equations - IV


Description: Solves advanced homogeneous problems with real-life applications and varying degrees of complexity.


Linear Differential Equations and Bernoulli’s Equation - I


Description: Introduces linear differential equations and Bernoulli’s equation with solving techniques using integrating factor.


Linear Differential Equations and Bernoulli’s Equation - II


Description: Continues linear and Bernoulli equations with applications and typical exam-style problems.


Solving by Inspection Method and Orthogonal Trajectory


Description: Teaches inspection method for quick solutions and introduces orthogonal trajectories in polar and Cartesian forms.


Revisal Problems for JEE Main(Differential Equations) - I


Description: Practices JEE Main-level problems on all differential equation types and solution methods.


Revisal Problems for JEE Main(Differential Equations) - II


Description: Continues JEE revisal with moderate-to-difficult problems covering full syllabus application.


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