Differential Equations Previous Years Board Questions (1991 to 2005) with Solutions of ISC Class 12 Mathematics

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An equation containing unknown functions and their derivatives with respect to one or more independent variables is called a differential equation.

A differential equation involving only one independent variable is called an ordinary differential equation.

Degree of a differential equation:

The power of the highest-order derivative occurring in a differential equation, after it is made free from radicals and fractions, is called the degree of the differential equation.

A solution of a differential equation is a function that satisfies the differential equation and does not involve any derivative or differentials.

 

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S Differential Equations (1991 to 2005) 1 S Differential Equations (1991 to 2005) 2 S Differential Equations (1991 to 2005) 3 S Differential Equations (1991 to 2005) 4 S Differential Equations (1991 to 2005) 5 S Differential Equations (1991 to 2005) 6 S Differential Equations (1991 to 2005) 7 S Differential Equations (1991 to 2005) 8 S Differential Equations (1991 to 2005) 9 S Differential Equations (1991 to 2005) 10 S Differential Equations (1991 to 2005) 11 S Differential Equations (1991 to 2005) 12 S Differential Equations (1991 to 2005) 13

 

Tapati’s Classes
Online LIVE Mathematics Tuition by Tapati Sarkar
Class 8 to 12 (ICSE, ISC, CBSE) – Two days per week
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               ISC              Class 12                   Mathematics

Previous Years Board Questions Solutions of Previous years Board Questions
Inverse Trigonometric Functions (2000 to 2020) Inverse Trigonometric Functions (2000 to 2020)
Matrices (2000 to 2020) Matrices (2000 to 2020)
Determinants (2000 to 2020) Determinants (2000 to 2020)
Differentiation (2000 to 2020) Differentiation (2000 to 2020)
Rolle’s Theorem and Lagrange’s Mean Value Theorem (1998 to 2020) Rolle’s Theorem and Lagrange’s Mean Value Theorems (1998 to 2020)
Maxima and Minima (2000 to 2020) Maxima and Minima (2000 to 2020)
Integration (1990 – 2011) Integration (1990 – 2011)
Integration (2012 to 2020) Integration (2012 to 2020)
Differential Equations (1991 to 2005) Differential Equations (1991 to 2005)
Differential Equations (2006 to 2020) Differential Equations (2006 to 2020)
Probability (Addition and Multiplication Theorem-Conditional Probability) (1993 to 2020) Probability (Addition and Multiplication Theorem, Conditional Probability) (1993 to 2020)
Probability (Baye’s Theorem) (2000 to 2019) Probability (Baye’s Theorem) (2000 to 2019)
Probability (Probability distribution and Binomial distribution) (1992 to 2020) Probability (Probability distribution and Binomial distribution) (1992 to 2020)
Application of Calculus in Commerce and Economics (2005 to 2020) Application of Calculus in Commerce and Economics (2005 to 2020)
Linear Programming (2008 to 2020) Linear Programming (2008 to 2020)
Linear Regression (2005 to 2020)
 
          Formula             Mathematics

Formula and Theorems for Class X
Class XI Formula Trigonometry
Inverse Trigonometric Functions – Class 12
 
Differentiation and Limits for Class 11 and 12
 
Integration for Class 11 and 12
 
 Linear Regression – Class 12- ISC
            MCQ              Class 12         Mathematics

Relations and Functions
Inverse Trigonometric Functions
Matrices
Determinants
Continuity and Differentiability
Tangents and Normals
Maxima and Minima
Increasing and Decreasing Functions
Application of Calculus in Commerce and Economics (Set I)
Application of Calculus in Commerce and Economics (Set II)
Integration MCQs (Set 1)
 Integration MCQs (Set 2)
Specimen Paper for Semester 1 – 2021 – ISC – Class XII Mathematics
Linear Regression
ISC   –   Class 12  –  Mathematics  –  Sem 2  –  2022  – Sample Paper

                            Sample Paper 1
                            Sample Paper 2
ISC – Class 12 –  Mathematics – Sem 1 – 2021 – Sample Paper

                         Specimen Paper
ISC- Class 12 – Mathematics – Sem 2 – 2022 – Chapterwise Questions

                      Differential Equations
     ISC / ICSE  Board Paper

ISC  – Class 12 – 2020 – Mathematics Question Paper
ISC –  Class 12 – 2019 –  Mathematics Question Paper
ICSE – Class 10 – 2020- Mathematics Question Paper 
ICSE – Class 10 – 2019 – Mathematics Question Paper
ICSE – Class 10 – 2018 – Mathematics Question Paper
ICSE – Class 10 – 2019 – Physics Question Paper
ICSE – Class 10 – 2018 – Physics Question Paper 
ICSE – Class 10 -2020- Mathematics Question PaperSolutions
CBSE    Class 12   NCERT Solutions    Mathematics
 Inverse Trigonometric Functions
Determinants – Chapter 4
Determinants Chapter 4 Exercise 4.1 and 4.2
Determinants Chapter 4 Exercise 4.3 and 4.4
Determinants – Chapter 4 – Exercise 4.5
Determinants – Chapter 4 – Exercise Miscellaneous
Continuity and Differentiability – Chapter 5
Continuity and Differentiability – Chapter 5 – Exercise 5.2
Continuity and Differentiability – Chapter 5 – Exercise 5.3
Continuity and Differentiability – Chapter 5 – Exercise 5.4
Continuity and Differentiability – Chapter 5 – Exercise 5.5
Continuity and Differentiability – Chapter 5 – Exercise 5.6
Continuity and Differentiability – Chapter 5 – Exercise 5.7
Integrals – Chapter 7
Integrals – Chapter 7 – Exercise 7.1
Integrals – Chapter 7 – Exercise 7.2 – Integration by Substitution
Integrals – Chapter 7 – Exercise 7.3 – Integration using trigonometric identities
Integrals – Chapter 7- Exercise 7.4 – Integrals of some Particular Functions 
Integrals – Chapter 7 – Exercise 7.5 – Integration by Partial Fraction
Integrals – Chapter 7 – Exercise 7.6 – Integration by parts

 

Tapati’s Classes
Online LIVE Mathematics Tuition by Tapati Sarkar
Class 8 to 12 (ICSE, ISC, CBSE) – Two days per week
Contact: tapatisclasses@gmail.com

 

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Solutions of Differential Equations (1991 to 2005)

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