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The Basics of Differential Equations

80 CQ
16 Lessons
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    5 CQ
    11. Practicing Verifying Implicit Solutions
    A lesson with Math Fortress
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    In this lesson, see how to verify implicit solutions, find explicit solutions, and define appropriate intervals of definition for challenging ODEs.

    In this lesson, see how to verify implicit solutions, find explicit solutions, and define appropriate intervals of definition for challenging ODEs.

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    6 CQ
    12. The Basics of Families of Solutions
    A lesson with Math Fortress
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    In this lesson, get a brief review of general antiderivatives in integral calculus, and then explore the concepts associated with families of solutions.

    In this lesson, get a brief review of general antiderivatives in integral calculus, and then explore the concepts associated with families of solutions.

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    5 CQ
    13. Verifying General Solutions of ODEs
    A lesson with Math Fortress
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    In this lesson, learn how to verify general solutions, also known as nth parameter family of solutions, of ordinary differential equations (ODEs).

    In this lesson, learn how to verify general solutions, also known as nth parameter family of solutions, of ordinary differential equations (ODEs).

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    4 CQ
    14. Implicit Families of Solutions
    A lesson with Math Fortress
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    In this lesson, Math Fortress explains how to verify implicit one-parameter families of solutions using two differential equations and solutions as examples.

    In this lesson, Math Fortress explains how to verify implicit one-parameter families of solutions using two differential equations and solutions as examples.

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    4 CQ
    15. Verifying Piecewise Defined Solutions
    A lesson with Math Fortress
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    With an in-depth example, learn how to verify a particular solution of the one-parameter family of solutions with a piecewise defined solution.

    With an in-depth example, learn how to verify a particular solution of the one-parameter family of solutions with a piecewise defined solution.

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