Differential Equations. Previous Years Board Questions (2006 to 2022) with Answers of ISC Class 12 Mathematics

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A differential equation is an equation that involves independent and dependent variables and the derivatives of the dependent variables. Examples : (1) ${\color{DarkOrange} sin\, x\, \frac{dy}{dx}+\, cos\, x=x\, sin\, x}$ (2) ${\color{DarkOrange} (x+2y^{3})\, \frac{dy}{dx}=y}$

The order of a differential equation is the order of the highest order derivative or differential appearing in the equation.

The degree of a differential equation is the degree of the highest order derivative when differential coefficients are made free from radicals and fractions.

ISC Class 12 Mathematics

Previous Years Board Questions	Solutions of Previous years Board Questions
Inverse Trigonometric Functions (2000 to Sem 1-2021)	Inverse Trigonometric Functions (2000 to Sem 1-2021)
Matrices (2000 to Sem 1 – 2021)	Matrices (2000 to Sem 1-2021)
Determinants (2000 to Sem1-2021)	Determinants (2000 to Sem1-2021)
Differentiation (2000 to Sem 1- 2021)	Differentiation (2000 to Sem 1- 2021)
L’ Hospital’s Rule (2001 to Sem1-2021)	L’ Hospital’s Rule (2001 to Sem1-2021)
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 Sem 1-2021)	Maxima and Minima (2000 to Sem 1 – 2021)
Integration (1990 – 2011)	Integration (1990 – 2011)
Integration (2012 to 2022)	Integration (2012 to 2022)
Differential Equations (1991 to 2005)	Differential Equations (1991 to 2005)

Differential Equations (2006 to 2022)	Differential Equations (2006 to 2022)
Probability (Addition and Multiplication Theorem-Conditional Probability) (1993 to 2022)	Probability (Addition and Multiplication Theorem, Conditional Probability) (1993 to 2022)
Probability (Baye’s Theorem) (2000 to Sem 2-2022)	Probability (Baye’s Theorem) (2000 to Sem 2-2022)
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 Sem 1-2021)	Application of Calculus in Commerce and Economics (2005 to Sem 1-2021)
Linear Programming (2008 to Sem 2-2022)	Linear Programming (2008 to 2022)
Linear Regression (2005 to 2013)	Linear Regression – (2005 to 2013)
Linear Regression (2014 to 2022)	Linear Regression – (2014 to 2022)

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B Q ISC Differential Equations (2006 - 2022)1 Differential Equations (2006 to 2020) 2 B Q ISC Differential Equations (2006 - 2020) 3 B Q ISC Differential Equations (2006 - 2020) 4

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 2022)	Integration (2012 to 2022)
Differential Equations (1991 to 2005)	Differential Equations (1991 to 2005)

Differential Equations (2006 to 2022)	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

Tapati’s Classes
Online LIVE Mathematics Tuition by Tapati Sarkar
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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 Paper– Solutions

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

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Differential Equations. Previous Years Board Questions (2006 to 2022) with Answers of ISC Class 12 Mathematics

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