Differential Equations: Tutorial Bank 1st edition


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  • Chapter 1: Introduction to Ordinary Differential Equations
    • 1.1: Introduction (6)
    • 1.2: Constructing Models (2)

  • Chapter 2: First-Order Differential Equations
    • 2.1: Existence and Uniqueness (2)
    • 2.2: Slope Fields (4)
    • 2.3: Qualitative Analysis of Autonomous Equations (2)
    • 2.4: Separable Equations and Applications (13)
    • 2.5: Linear Equations and Applications (11)
    • 2.6: Exact Equations (1)
    • 2.7: Homogeneous Equations (1)
    • 2.8: Solution Methods for Special Cases (3)

  • Chapter 3: Second-Order Linear Differential Equations
    • 3.1: Existence and Uniqueness (2)
    • 3.2: Fundamental Solutions of Homogeneous Equations; Wronskian (3)
    • 3.3: Reduction of Order (1)
    • 3.4: Homogeneous Equations with Constant Coefficients (3)
    • 3.5: Free Mechanical Vibrations (10)
    • 3.6: Nonhomogeneous Equations (3)
    • 3.7: Method of Annihilators (12)
    • 3.8: Method of Undetermined Coefficients (9)
    • 3.9: Variation of Parameters (2)
    • 3.10: Forced Mechanical Vibrations (3)
    • 3.11: Electrical Networks (3)

  • Chapter 4: Higher-Order Linear Differential Equations
    • 4.1: Existence and Uniqueness (2)
    • 4.2: Fundamental Solutions of Homogeneous Equations; Wronskian (6)
    • 4.3: Nonhomogeneous Equations with Constant Coefficients (4)
    • 4.4: Variation of Parameters (1)

  • Chapter 5: LaPlace Transforms
    • 5.1: Introduction (15)
    • 5.2: Derivatives and Initial-Value Problems (7)
    • 5.3: Step Functions and Translation; Piecewise-Continuous Forcing (12)
    • 5.4: Impulses (2)
    • 5.5: Convolution (4)
    • 5.6: Applications (5)

  • Chapter 6: Series Solutions
    • 6.1: Introduction (6)
    • 6.2: Series Solutions Near an Ordinary Point (5)
    • 6.3: Series Solutions Near a Regular Singular Point (2)
    • 6.4: Method of Frobenius (4)

  • Chapter 7: Systems of Differential Equations
    • 7.1: Review: Solving Systems Using Matrices (11)
    • 7.2: Introduction (6)
    • 7.3: Method of Eigenvalues and Eigenvectors (4)
    • 7.4: Modeling with Systems of Equations (2)

  • Chapter 8: Numerical Solutions
    • 8.1: Euler's Method (3)
    • 8.2: Runge-Kutta Method (2)
    • 8.3: Method Comparison (1)
    • 8.4: Finite Difference Method (1)


Enrich your course with the WebAssign Differential Equations Tutorial Bank. Authored by the WebAssign Community of Teachers, this collection features more than 90 tutorial questions that guide students to a deeper understanding of the skills and concepts. Every question features an algorithmically stepped-out solution for further student support. Additionally, video explanations available at the question level present a variety of learning avenues for tackling tough concepts. Ideal as supplemental problems for your assignments, or as extra practice for students, this free Additional Resource can be added to any WebAssign course.

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Group Quantity Questions
Chapter 1: Introduction to Ordinary Differential Equations
1.1 6 001a.Tut 001b.Tut 001c.Tut 002a.Tut 002b.Tut 002c.Tut
1.2 2 001.Tut 002.Tut
Chapter 2: First-Order Differential Equations
2.1 2 001a.Tut 001b.Tut
2.2 4 001.Tut 002a.Tut 002b.Tut 002c.Tut
2.3 2 001.Tut 002.Tut
2.4 13 001a.Tut 001b.Tut 001c.Tut 002.Tut 003.Tut 004.Tut 005.Tut 006.Tut 007.Tut 008.Tut 009.Tut 010.Tut 011.Tut
2.5 11 001.Tut 002.Tut 003.Tut 004.Tut 005a.Tut 005b.Tut 006.Tut 007.Tut 008.Tut 009.Tut 010.Tut
2.6 1 001.Tut
2.7 1 001.Tut
2.8 3 001.Tut 002.Tut 003.Tut
Chapter 3: Second-Order Linear Differential Equations
3.1 2 001a.Tut 001b.Tut
3.2 3 001.Tut 002.Tut 003.Tut
3.3 1 001.Tut
3.4 3 001.Tut 002.Tut 003.Tut
3.5 10 001.Tut 002.Tut 003.Tut 004.Tut 005.Tut 006.Tut 007a.Tut 007b.Tut 007c.Tut 008.Tut
3.6 3 001.Tut 002a.Tut 002b.Tut
3.7 12 001a.Tut 001b.Tut 002.Tut 003a.Tut 003b.Tut 003c.Tut 003d.Tut 004.Tut 005.Tut 006.Tut 007.Tut 008.Tut
3.8 9 001a.Tut 001b.Tut 001c.Tut 001d.Tut 002.Tut 003.Tut 004.Tut 005.Tut 006.Tut
3.9 2 001.Tut 002.Tut
3.10 3 001a.Tut 001b.Tut 002.Tut
3.11 3 001.Tut 002.Tut 003.Tut
Chapter 4: Higher-Order Linear Differential Equations
4.1 2 001a.Tut 001b.Tut
4.2 6 001.Tut 002.Tut 003a.Tut 003b.Tut 004.Tut 005.Tut
4.3 4 001a.Tut 001b.Tut 002a.Tut 002b.Tut
4.4 1 001.Tut
Chapter 5: LaPlace Transforms
5.1 15 001a.Tut 001b.Tut 001c.Tut 002a.Tut 002b.Tut 002c.Tut 003.Tut 004.Tut 005a.Tut 005b.Tut 006.Tut 007a.Tut 007b.Tut 007c.Tut 008.Tut
5.2 7 001a.Tut 001b.Tut 002.Tut 003.Tut 004.Tut 005.Tut 006.Tut
5.3 12 001.Tut 002a.Tut 002b.Tut 003.Tut 004a.Tut 004b.Tut 005.Tut 006.Tut 007a.Tut 007b.Tut 008.Tut 009.Tut
5.4 2 001a.Tut 001b.Tut
5.5 4 001.Tut 002.Tut 003.Tut 004.Tut
5.6 5 001.Tut 002.Tut 003.Tut 004.Tut 005.Tut
Chapter 6: Series Solutions
6.1 6 001.Tut 002.Tut 003.Tut 004.Tut 005.Tut 006.Tut
6.2 5 001.Tut 002.Tut 003.Tut 004.Tut 005.Tut
6.3 2 001.Tut 002.Tut
6.4 4 001.Tut 002.Tut 003.Tut 004.Tut
Chapter 7: Systems of Differential Equations
7.1 11 001a.Tut 001b.Tut 002.Tut 003.Tut 004.Tut 005a.Tut 005b.Tut 006.Tut 007a.Tut 007b.Tut 008.Tut
7.2 6 001.Tut 002.Tut 003.Tut 004.Tut 005.Tut 006.Tut
7.3 4 001.Tut 002.Tut 003.Tut 004.Tut
7.4 2 001.Tut 002.Tut
Chapter 8: Numerical Solutions
8.1 3 001.Tut 002.Tut 003.Tut
8.2 2 001.Tut 002.Tut
8.3 1 001.Tut
8.4 1 001.Tut
Total 201