MATH 212 • Tüm Sınavlar • Differential Equations

Introduction: What is a Differential Equation

Exam-like Question

Integrating Factor Method

Exam like Question 1

Exam like Question 2

Exam like Question 3

Exam like Question 4

Exam like Question 5

Exam like Question 6

Exam like Question 7

Separable Equations

Exam like Question 1

Exam like Question 2

Exam like Question 3

Exam like Question 4

Exam like Question 5

Exact Differential Equations I

Exact Differential Equations II

Exact Differential Equations III

Non-Exact Equation & Integrating Factor I

Non-Exact Equation & Integrating Factor II

Non-Exact Equation & Integrating Factor III

Non-Exact Equation & Integrating Factor IV

Exam like Question 1

Exam like Question 2

Exam like Question 3

Exam like Question 4

Existence and Uniqueness Theorem I

Existence and Uniqueness Theorem II

Existence and Uniqueness Theorem III

Homogeneous Equations with Constant Coefficient 1

Homogeneous Equations with Constant Coefficient 2

Homogeneous Equations with Constant Coefficient 3

Homogeneous Equations with Constant Coefficient 4

Two Complex Roots I

Two Complex Roots II

Repeated Roots

Exam like Question 1-2-3

Exam like Question 4-5-6

Exam like Question 7

Exam like Question 8-9-10

Exam like Question 11-12-13

Existence & Uniqueness for 2nd Order DE

Exam like Question 1

Exam like Question 2

Wronskian Determinant 1

Wronskian Determinant 2

Wronskian Determinant 3

Fundamental Set of Solution 1

Fundamental Set of Solution 2

Wronskian and Linear Independence

Exam like Question 1

Exam like Question 2

Exam-like Question 3

Exam like Question 4

Reduction of Order I

Reduction of Order II

Reduction of Order III

Exam like Question 1

Exam like Question 2

Undetermined Coefficients I

Undetermined Coefficients II

Undetermined Coefficients III

Exam like Question 1-2-3-4-5

Exam like Question 6

Exam like Question 7

Exam like Question 8

First Order Linear Equations 1

First Order Linear Equations 2

First Order Linear Equations 3

First Order Linear Equations 4

Separable Equations 1

Separable Equations 2

Separable Equations 3

Separable Equations 4

Exact Equations

Exact Equation (with Integrating Factor)

Exact Equation (with Integrating Factor)

Exact Equation (with Integrating Factor)

Second Order Eq. with Constant Coefficients

Second Order Eq. with Constant Coefficients

Second Order Eq. with Constant Coefficients

Second Order ODE with Constant Coefficients

Fundamental Set of Solutions 1

Fundamental Set of Solutions 2

Fundamental Set of Solutions 3

Reduction of Order 1

Reduction of Order 2

Reduction of Order 3

Reduction of Order 4

Method of Undetermined Coefficients

Method of Undetermined Coefficients

Method of Undetermined Coefficients

Method of Undetermined Coefficients

Existence Uniqueness Theorem, Reduction of Order

Exact Equations with Integrating Factors

Applications of 1st Oder ODEs (Population Growth)

Undetermined Coefficients

Higher Order Equations, Homogeneous and Particular Solution (Undet. Coefs. Method)

Existence and Uniqueness Theorem, Fundamental Set Of Solutions using Wronskian

Reduction of Order

Exact Equations with Integrating Factors

Applications of 1st Oder ODEs (Population Growth)

Second ODE with Constant Coefficients

Variation of Parameters Method

Higher Order Equations,

Classifying Differential Equations

Integrating Factor

Separable Equations

Wronskian & Fundamental Set of Solutions

Existence and Uniqueness Theorem

Classification of Differential Equations

Linear Equations and Integrating Factors

Separable Equations

Exact Equations and Integrating Factors

Constant Coefficient 2nd Order Equations

Largest Interval for Unique Solution of a DE

Theory Problems

Variation of Parameters

Higher Order Equations

Power Series Review

Power Series Solutions I

Power Series Solutions II

Power Series Solutions III

Power Series Solutions IV

Power Series Solutions V

Power Series Solution: Regular Singular Point

Classification of Singular Points

Solution Near an Regular Singular Point-2

Euler Equation I

Euler Equation II

Euler Equation III

The Laplace Transform 1

The Laplace Transform 2

The Laplace Transform 3

The Laplace Transform 4

Inverse Laplace Transform 1

Inverse Laplace Transform 2

Exam-like Question 1-2-3

Exam-like Question 4-5-6

Exam-like Question 7-8-9

Exam-like Question 10-11

Exam-like Question 12

Laplace Transform of Derivative

Laplace Transform and Initial Value Problems 1

Laplace Transform and Initial Value Problems 2

Variation of Parameter 1

Variation of Parameter 2

Variation of Parameter 3

Variation of Parameter 4

Variation of Parameter 5

Higher Order Linear Equations 1

Higher Order Linear Equations 2

Higher Order: Undetermined Coefficient 1

Higher Order: Undetermined Coefficient 2

Higher Order: Undetermined Coefficient 3

Higher Order: Variation of Parameter

Euler Equation 1

Euler Equation 2

Euler Equation 3

Euler Equation 4

Euler Equation & Variation of Parameter 1

Euler Equation & Variation of Parameter 2

Euler Equation & Variation of Parameter 3

Euler Equation & Variation of Parameter 4

Power Series Solution 1

Power Series Solution 2

Power Series Solution 3

Power Series Solution 4

Power Series Solution 5

Solution Near an Regular Singular Point

Solution Near an Regular Singular Point

Inverse Laplace Transform 1

Inverse Laplace Transform 2

Solving Eq. with Laplace Transform 1

Solving Eq. with Laplace Transform 2

Solving Eq. with Laplace Transform 3

Solving Eq. with Laplace Transform 4

Solving Eq. with Laplace Transform 5

Solving Eq. with Laplace Transform 6

Laplace Transform & Step Function 1

Laplace Transform & Step Function 2

Laplace Transform & Step Function 3

(FALL 2022 Exam) Variation of Parameters Method

(SPRING 2025 Exam) Variation of Parameters Method

(SPRING 2021 Exam) Higher Order Equations, Homogeneous and Particular Solution

(FALL 2022 Exam) Higher Order Equations, Homogeneous and Particular Solution

(SPRING 2025 Exam) Higher Order Equations, Homogeneous and Particular Solution

(SPRING 2021 Exam) Cauchy Euler Equation

(SPRING 2025 Exam) Power Series Solution Around an Ordinary Point

(SPRING 2025 Exam) Classification of Singular Points

(SPRING 2021 Exam) Power Series Solution around a Regular Singular Point

(SPRING 2025 Exam) Inverse Laplace Transform

(SPRING 2025 Exam) Solution of Differential Equations (with Dirac Delta) with Laplace Transform

Variation of Parameters

Power Series Solution (Ordinary Point)

Power Series Solution (Ordinary Point)

Power Series (Classification of Singular Points)

Power Series Solution (Singular Point)

Power Series Solution (Singular Point)

Solvin Equations with Laplace Transform

Solvin Equations with Laplace Transform

Solvin Equations with Laplace Transform

Inverse Laplace Transform

Inverse Laplace Transform

Step Functions 1

Step Functions 2

Step Functions 3

Exam like Question 1-2

Exam like Question 3-4

Initial Value Problems with Step Functions 1

Initial Value Problems with Step Functions 2

Initial Value Problems with Step Functions 3

Exam like Question 1

Exam like Question 2

Eigenvalues & Eigenvectors: 3 Vital Steps

Eigenvalues & Eigenvectors: A Special Tip

Complex Eigenvalues

Complex Eigenvalues-2

Introduction

Homogeneous Systems: Distinct Real Eigenvalues 1

Homogeneous Systems: Distinct Real Eigenvalues 2

Exam-like Question 1

Exam like Question 2

Solving Eq. with Laplace Transform 1

Solving Eq. with Laplace Transform 2

Solving Eq. with Laplace Transform 3

Solving Eq. with Laplace Transform 4

Solving Eq. with Laplace Transform 5

Laplace Transform & Step Function 1

Laplace Transform & Step Function 2

Laplace Transform & Step Function 3

The Convolution Integral 1

The Convolution Integral 2

The Convolution Integral 3

The Convolution Integral 4

Systems of Linear Equations 1

Systems of Linear Equations 2

Eigen-Functions

Exam like Question 1

Exam like Question 2

Exam like Question 3

Heat Equation 1

Exam like Question 1

Exam like Question 2

Exam like Question 3

Wave Equation

Exam like Question 1

Exam like Question 2

Two Point Boundary Value Problem 1

Two Point Boundary Value Problem 2

Heat Conduction 1

Heat Conduction 2

Heat Conduction 3

Power Series Solution Around an Ordinary Point

Classification of Singular Points

Inverse Laplace Transform

Solution of Differential Equations (with Dirac Delta) with Laplace Transform

Solution of an Equation (including Convolution Integral) with Laplace Transform

Solution of System of Equations with EVP

Separation of Variables for a PDE

Eigenvalues and Eigenfunction of a DE

Homogeneous Linear Systems with Constant Coefficients

Laplace Transform

Laplace Transform

Laplace Transform

Two-Point Boundary Value Problems

Heat Conduction in a Rod

Solving Equations with Laplace Transform

Solving Equations with Laplace Transform

Solving Equations with Laplace Transform

Laplace Transform: Step Function

Laplace Transform: Step Function

Laplace Transform: Step Function

Laplace Transform: Step Function

Laplace Transform: Convolution Integral

Laplace Transform: Convolution Integral

Laplace Transform: Convolution Integral

System of DE: Distinct Real Eigenvalues

System of DE: Distinct Real Eigenvalues

System of DE: Distinct Real Eigenvalues

Heat Equation

Heat Equation