1. Fill in the blank. (Note: We use letter w for the first substitution) dy a. The linear differential equation dx 1-x 2 has the integrating factor equal to y =-- (Note: Simplify or solve the integrating factor) b.The linear differential equation x*dy+(2y- 3xy-x' kdx = 0 has the integrating factor equal %3D (Note: Simplify or solve the integrating factor) to c.The standard form of the first order linear differential equation xdy+(2xy - 3y-4x* dx = 0 %3D is
1. Fill in the blank. (Note: We use letter w for the first substitution) dy a. The linear differential equation dx 1-x 2 has the integrating factor equal to y =-- (Note: Simplify or solve the integrating factor) b.The linear differential equation x*dy+(2y- 3xy-x' kdx = 0 has the integrating factor equal %3D (Note: Simplify or solve the integrating factor) to c.The standard form of the first order linear differential equation xdy+(2xy - 3y-4x* dx = 0 %3D is
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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![1. Fill in the blank. (Note: We use letter w for the first substitution)
dy
a. The linear differential equation
dx
1-x
2
has the integrating factor equal to
(Note: Simplify or solve the integrating factor)
b.The linear differential equation x*dy+(2y-3xy-x' kdx = 0 has the integrating factor equal
%3D
to
(Note: Simplify or solve the integrating factor)
c.The standard form of the first order linear differential equation xdy+(2xy - 3y-4x* dx = 0
%3D
is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6425273-3d2a-4e96-b6e4-1c79f21f7a67%2F6f083f27-8965-47b0-8570-a657a106483d%2Fhgcw8s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Fill in the blank. (Note: We use letter w for the first substitution)
dy
a. The linear differential equation
dx
1-x
2
has the integrating factor equal to
(Note: Simplify or solve the integrating factor)
b.The linear differential equation x*dy+(2y-3xy-x' kdx = 0 has the integrating factor equal
%3D
to
(Note: Simplify or solve the integrating factor)
c.The standard form of the first order linear differential equation xdy+(2xy - 3y-4x* dx = 0
%3D
is
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