MATH 276 • Tüm Sınavlar • Differential Equations

Introduction (ÖNEMLİ!)

MATH276'yı Fethetmek!

Atılım MATH276 Podcast

Fast Calculus Review

Classification of Differential Equations

Existence Uniqueness Theorem for 1st Order DEs

Separable Equations

Exam like Question 1

Exam like Question 2

Exam like Question 3

Exam like Question 4

Exam Like Quesition 5

Exam Like Quesition 6

Linear Equations

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

Exam Like Question 8

Exam Like Question 9

Exam Like Question 10

Exam Like Question 11

Bernoulli Equations

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Exam Like Question 4

Exam Like Question 5

Exam Like Question 6

Homogeneous Equations

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Exam Like Question 4

Exam Like Question 5

Exam Like Question 6

Exact Equations

Integrating Factors for Exact Equations

Different Types of Integrating Factors

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

Exam Like Question 8

Exam Like Question 9

Exam Like Question 10

Exam Like Question 11

Exam Like Question 12

Exam Like Question 13

Substitutions

Substitutions for F(ax + by + c)

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Exam Like Question 4

Exam Like Question 5

Exam Like Question 6

Applications

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Exam Like Question 4

Exam Like Question 5

Exam Like Question 6

Overview of 1st Order Differential Equations

The Wronskian and Linear Independence

Higher Order Linear Ordinary Differential Equations: Basic Theory of Higher Order Linear ODEs

Reduction of Order Method

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Homogeneous Constant Coefficient Equations

Exam Like Question 1-2-3

Exam Like Question 4-5-6

Exam Like Question 7-8-9

Exam Like Question 10-11-12

Exam Like Question 13

Exam Like Question 14 (Sınavda Çıkar!)

Classification of Differential Equations

Conceptual True-False Question

Linear Equations

Separable Equations

Separable Equation, Bernoulli Equation

Bernoulli Equations

Bernoulli Equations

Homogeneous Equations

Exact Equations and Integrating Factors

Exact Equations and Integrating Factors

Exact Equations with Integrating Factors

Exact Equations and Integrating Factors

Applications of 1st Oder ODEs (Population Growth)

Applications of 1st Oder ODEs (Population Growth)

Reduction of Order

Reduction of Order

Homogeneous Solution of Const. Coef. Higher Order DEs

Constant Coefficient Homogeneous Equations

Finding the Constant Coef. Homogeneous DE from a Given Solution

Finding the Constant Coef. Homogeneous DE from a Given Solution

Constant Coef. Homog. Equation and Graph of Simple Functions; Finding Diff. Eqn. from a Given Set

Method of Undetermined Coefficients

Method of Undetermined Coefficients (Spring 2025)

Method of Undetermined Coefficients (Spring 2024)

Method of Variation of Parameters

Method of Variation of Parameters (Spring 2025)

Method of Variation of Parameters (Fall 2024)

Method of Variation of Parameters (Spring 2024)

Cauchy Euler Equation

Cauchy Euler Equation (Fall 2024)

Cauchy Euler Equation (Spring 2024)

Classification of Differential Equations

Homogeneous Equations

Applications

Exact Equations and Integrating Factors

Reduction of Order Method

Exact Equations

Homogeneous Constant Coefficient Equations

Homogeneous Equations

Linear Equations

Exact Equations

Method of Undetermined Coefficients

Cauchy Euler Equations

Reduction of Order Method

Classification of Differential Equations

Homogeneous Equations

Verifying the Solutions, Linear Independence, Particular Solution

Exact Equations

Homogeneous, Const. Coef. Higher Order DEs

Reduction of Order

Classification of Differential Equations

Bernoulli Equation

Separable Equation

Complementary and Particular Solutions (Wronskian and Linear Indep.)

Reduction of Order Method

Applications of Differential Equations

Exact Equation Integrating Factor

Homogeneous Equations

Substitutions

Exact Equations and Integrating Factors

Reduction of Order Method

Homogeneous, Const. Coef. Higher Order DEs

Homogeneous, Const. Coef. Higher Order DEs

Applications

Question-1

Question-2

Question-3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Solutions of the Exercise Sets Between 1-17 (Midterm-1 Topics)

Formula Sheet for All Chapters

Undetermined Coefficients Method (Non-Wronskian Formula)

Undetermined Coefficients Method (Wronskian 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

Exam Like Question 8

Exam Like Question 9

Exam Like Question 10

Exam Like Question 11

Exam Like Question 12

Exam Like Question 13

Exam Like Question 14

(NEW) Variation of Parameters Method (Non-Wronskian 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

Power Series Solutions (Ordinary Point)

Exam Like Equation 1

Exam Like Equation 2

Exam Like Equation 3

Exam Like Equation 4

Power Series Solutions (Regular Singular Points)

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Exam Like Question 4

Exam Like Question 5

Laplace Transform (Introduction)

Laplace Transform as an Integral

Laplace Tables and Properties of Laplace Transform

Exam Like Question

Unit Impulse, Step and Ramp Functions

Laplace of Time Delayed and Periodic Functions

Exam Like Question

Exam Like Question

Exam Like Question

Convolution and Complex Shift

Exam Like Question

Exam Like Question

Initial and Final Value Theorems

Exam Like Question

Exam Like Question

Inverse Laplace with Partial Fractions

Exam Like Question

Exam Like Question

Exam Like Question

Exam Like Question

Exam Like Question

Exam Like Question

Solution of Differential Equations by the Laplace Transforms

Formula Sheet for Laplace Transforms

System of Linear Ordinary Differential Equations

Partial Differential Equations: Separation of Variables and Heat Equation

Exam Like Question: Heat Equation

Exam Like Question: Heat Equation

Exam Like Question: Heat Equation

Fourier Analysis

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Exam Like Question 4

Exam Like Question 5

Exam Like Question 6

Inverse Laplace Transform

Inverse Laplace Transform of a Time Shifted Function

Solution of ODEs with Laplace Transform

Solution of a System of ODEs with Laplace Transform

Classification of Singular Points

Power Series Solution around an Ordinary Point

Power Series Solution Around an Ordinary Point

Power Series Solution around a Regular Singular Point

Inverse Laplace Transform

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

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

Power Series Solution

Convolution Integral and Laplace Transform

Solution of D.Es. with Laplace Transform

Solution of DEs with Laplace Transform

Homogeneous Const. Coef. Higher Order DEs

Conservative Fields and Potential Functions (Similar to Exact Equations)

Solution with Substitutions

Method of Undetermined Coefficients

Separation of Variables for a PDE

Eigenvalues and Eigenfunction of a DE

Method of Undetermined Coefficients

Method of Variation of Parameters

Cauchy-Euler Equation

Power Series Solution Around An Ordinary Point

Power Series Solution about Singular Points

Laplace and Inverse Laplace Transform

Sample Midterm-2 Solutions

Fall-2025 Sample Final Solutions

Laplace and Inverse Laplace Transform

Laplace and Inverse Laplace Transform

Laplace and Inverse Laplace Transform

System of Linear ODEs

Power Series Solutions (Ordinary Point)

First and Second Order DEs (Multiple Choice)

Second Order DEs (Multiple Choice)

Higher Order DEs, Convolution, Fourier Expansion (Multiple Choice)

Bernoulli Equation

Wronskian Determinant, Variation of Parameters Method

Heat Equation

Undetermined Coefficients Method, Laplace Transform

Method of Undetermined Coefficients

Method of Variation of Parameters

Power Series Solution Around an Ordinary Point

Laplace Transform

Solution of Differential Eqns. Using Laplace Transform

Substitutions

Laplace Transform of a Discontinuous Function

Verifying the Solutions, Linear Independence

Convolution Integral

Heat Equation

Fourier Transfrom

Classification of Singular Points

Cauchy Euler Equation

Variation of Parameters Method

Power Series Solution Around Ordinary Point

Laplace Transform (involving Convolution)

Inverse Laplace Transform

Solving DE with Laplace Tr.

Solution of Heat Equation

Fourier Series Expansion (Cosine Series)

1st Order Homogeneous Equation

Exact Equation

Power Series Solutions of Differential Equations

Solving DE with Laplace Tr.

System of Linear DE (Elimination Method)

Variation of Parameters Method

Cauchy-Euler Equation

Method of Undetermined Coefficients

Power Series Solution Around an Ordinary Point

Laplace and Inverse Laplace Transform

Solution of an ODE with Laplace Transform

Partial Differential Equations: Heat Equation

Fourier Series Expansion

Bernoulli Equations

Solution of System of ODEs with Elimination

Power Series Solution Around Regular Singular Points

Solution of Higher Order ODEs: General Theory

Laplace Transform (with Convolution Integral)

Solution of ODEs with Laplace Transform (Piecewise Functions)

Solutions of the Exercise Sets Between 20-21-23 (Final Topics)

Formula Sheet for All Chapters