Problem 3. Given the differential equation (laHo AuobepenILHaJIL HOE уравнение) dy = 2x (y? + 1) (a) points shown in the figure. (Нарисуйте поле уклона для этого дифференциального уравнения в точ- ках, показанных на рисунке.) Sketch the slope field for this differential equation at the y (-1, 1) (01) (1,1) (-1,0) (0,0) (1,0) (-1,–1) (0,-1) (1,-1) (b) whose graph passes through (0,1). Express f as a function of x. (Пусть f - частное решение дифференциального уравнения, график ко- Let f be the particular solution to the differential equation торого проходит через (0, 1). Выразите f как функцию г.)
Problem 3. Given the differential equation (laHo AuobepenILHaJIL HOE уравнение) dy = 2x (y? + 1) (a) points shown in the figure. (Нарисуйте поле уклона для этого дифференциального уравнения в точ- ках, показанных на рисунке.) Sketch the slope field for this differential equation at the y (-1, 1) (01) (1,1) (-1,0) (0,0) (1,0) (-1,–1) (0,-1) (1,-1) (b) whose graph passes through (0,1). Express f as a function of x. (Пусть f - частное решение дифференциального уравнения, график ко- Let f be the particular solution to the differential equation торого проходит через (0, 1). Выразите f как функцию г.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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HW 10 Problem 3
Transcribed Image Text:Problem 3. Given the differential equation (Дано дифференщиальное
уравнение)
dy
: 2г (у? + 1)
dx
(а)
points shown in the figure.
(Нарисуйте поле уклона для этого дифференциального уравнения в точ-
ках, показанных на рисунке.)
Sketch the slope field for this differential equation at the
y
(-1, 1)
(0 1)
(1,1)
(-1,0)
(0, 0)
(1,0)
(-1,–1) (0, -1)
(1,–1)
(b)
whose graph passes through (0, 1). Express f as a function of r.
(Пусть f - частное решение дифференциального уравнения, график ко-
торого проходит через (0, 1). Выразите f как функцию а.)
Let f be the particular solution to the differential equation
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