MATH 276 • Midterm II + Final • Differential Equations

Power Series Solutions (Ordinary Point)

Exam Like Equation 1

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Exam Like Equation 3

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Exam Like Equation 5

Power Series Solutions (Regular Singular Points)

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Laplace Transform (Introduction)

Laplace Transform as an Integral

Laplace Tables and Properties of Laplace Transform

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Unit Impulse, Step and Ramp Functions

Laplace of Time Delayed and Periodic Functions

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Convolution and Complex Shift

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Initial and Final Value Theorems

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Inverse Laplace with Partial Fractions

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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

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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

Convolution Integral

Conservative Fields and Potential Functions (Similar to Exact Equations)

Solution with Substitutions

Method of Undetermined Coefficients

Solution of ODEs with Laplace Transform

Solution of a System of ODEs with Laplace Transform

Power Series Solution around an Ordinary Point

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

Separation of Variables for a PDE

Eigenvalues and Eigenfunction of a DE

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