'Solution curves' presentation slideshows

DIFFERENTIAL EQUATIONS

9. DIFFERENTIAL EQUATIONS. DIFFERENTIAL EQUATIONS. We have looked at a variety of models for the growth of a single species that lives alone in an environment. DIFFERENTIAL EQUATIONS. 9.6 Predator-Prey Systems. In this section, we will learn about:

815 views • 59 slides

DIFFERENTIAL EQUATIONS

9. DIFFERENTIAL EQUATIONS. DIFFERENTIAL EQUATIONS. We have looked at a variety of models for the growth of a single species that lives alone in an environment. DIFFERENTIAL EQUATIONS. 9.6 Predator-Prey Systems. In this section, we will learn about:

601 views • 59 slides

Modeling with differential equations

Modeling with differential equations. One of the most important application of calculus is differential equations, which often arise in describing some phenomenon in engineering, physical science and social science as well. Concepts of differential equations.

1.23k views • 17 slides

EXAMPLE 1

EXAMPLE 1. Find the first order partial derivatives of (Chain rule) If then it may be possible to compute What can we say about an implicit function and the ODE:

350 views • 16 slides

12.2: Slope Fields

247 views • 15 slides

Ch 1.1: Basic Mathematical Models; Direction Fields

Ch 1.1: Basic Mathematical Models; Direction Fields. Differential equations are equations containing derivatives. The following are examples of physical phenomena involving rates of change: Motion of fluids Motion of mechanical systems Flow of current in electrical circuits

346 views • 13 slides

Ch 1.1: Basic Mathematical Models; Direction Fields

Ch 1.1: Basic Mathematical Models; Direction Fields. Differential equations are equations containing derivatives. The following are examples of physical phenomena involving rates of change: Motion of fluids Motion of mechanical systems Flow of current in electrical circuits

232 views • 13 slides

Ch 2.6: Exact Equations & Integrating Factors

Ch 2.6: Exact Equations & Integrating Factors. Consider a first order ODE of the form Suppose there is a function ? such that and such that ? ( x,y ) = c defines y = ? ( x ) implicitly. Then and hence the original ODE becomes Thus ? ( x,y ) = c defines a solution implicitly.

106 views • 10 slides

AP Calculus AB

AP Calculus AB. Day 6 Section 6.1. Slope Field a visual representation of the derivative of a function at individual points. used to show the rate of change of a function at a specific set of given points. Solution Curve.

148 views • 8 slides

Ch 1.1: Basic Mathematical Models; Direction Fields

Ch 1.1: Basic Mathematical Models; Direction Fields. Differential equations are equations containing derivatives. Derivatives describe rates of change. The following are examples of physical phenomena involving rates of change: Motion of fluids Motion of mechanical systems

237 views • 6 slides