june 6 Screenshot (1689).png Screenshot (1683).png Show that the differential equation x²y³ + x(1 + y²)y' = 0 is not exact, but becomes exact when multiplied by the integrating factor 1 μ(x, y) = Then solve the equation. xy³ The given equation is not exact, because My = which is different from N= After multiplication with p(x, y), the equation is exact, because then My = N₂ = The general solution of the differential equation is given implicitly by =c, for any constant c, where y > 0. yar-by 85).png Screenshot (1684).png

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Show that the differential equation_x²y³ + x(1+y²)y' = 0_is not
exact, but becomes exact when multiplied by the integrating factor
1
Then solve the equation.
xy³*
μ(x, y)
The given equation is not exact, because My
=
which is different from N
Open with
=
My = Nx =
After multiplication with u(x, y), the equation is exact, because then
The general solution of the differential equation is given implicitly by
= c, for any constant c, where y > 0.
Q +
→
e equation is ex
ntial equation is
br - cy
al equation is not.
685).png
:
Name↓
Determine whether the differential equation
(2x² − 2xy + 3) dz + (7y² − a² + 2)
is exact. If it is exact, find the solution.
The differential equation Choose one exac
Choose one Choose one Choose one
Screenshot (1684).png
V
:
+
>
Transcribed Image Text:+ ⠀ ☎ ( Screenshot (1687).png + New My Drive Computers Shared with me Recent Starred Trash Storage 7.82 GB of 15 GB used < Buy storage Q Search in Drive Shared with me > june 6 Files Screenshot (1689).png Screenshot (1683).png Show that the differential equation_x²y³ + x(1+y²)y' = 0_is not exact, but becomes exact when multiplied by the integrating factor 1 Then solve the equation. xy³* μ(x, y) The given equation is not exact, because My = which is different from N Open with = My = Nx = After multiplication with u(x, y), the equation is exact, because then The general solution of the differential equation is given implicitly by = c, for any constant c, where y > 0. Q + → e equation is ex ntial equation is br - cy al equation is not. 685).png : Name↓ Determine whether the differential equation (2x² − 2xy + 3) dz + (7y² − a² + 2) is exact. If it is exact, find the solution. The differential equation Choose one exac Choose one Choose one Choose one Screenshot (1684).png V : + >
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