Separability Differential equations (a), (b), and (c) are separa- ble. Equation (d) is not separable: it resists all efforts to segregate its variables. (What goes wrong when you try to separate part (d)?) dy (a) dt + ydy = -t dt y dy = 1'y dy = 1²dt y (b) ip dy (c) = y +1 dt dy = dt y +1 dy (d) =t + y (not separable) ip

Separability Differential equations (a), (b), and (c) are separa- ble. Equation (d) is not separable: it resists all efforts to segregate its variables. (What goes wrong when you try to separate part (d)?) dy (a) dt + ydy = -t dt y dy = 1'y dy = 1²dt y (b) ip dy (c) = y +1 dt dy = dt y +1 dy (d) =t + y (not separable) ip

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.4: Solving Nonlinear Equations

Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...

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