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Consider the in-exact ODE 2xy' + 3x + y = 0 select the intergrating factor which makes this ODE exact a). x-1/2 b). xy2 c). 2x1/2y d). x2y e). y-1/2 using the integrating factor solve the ODE. select the correct solution

Consider the in-exact ODE 2xy' + 3x + y = 0 select the intergrating factor which makes this ODE exact a). x-1/2 b). xy2 c). 2x1/2y d). x2y e). y-1/2 using the integrating factor solve the ODE. select the correct solution

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Consider the in-exact ODE 2xy' + 3x + y = 0 select the intergrating factor which makes this ODE exact

a). x-1/2

b). xy2

c). 2x1/2y

d). x2y

e). y-1/2

using the integrating factor solve the ODE. select the correct solution

i). x1/2(y+x) = 0

ii). x1/2(y+x) = c

iii). x3/2(y+x) = 0

iv). x1/2(y+x3/2 ) = c

v). x3/2(y+x) = c

Now consider the in-exact ODE 2zy' + 3z + y = 0 for the next two parts. Select the integrating factor which makes this ODE exact. 0₂-1/2 Ory² 2¹/2y O²y Oy-1/2 Using the integrating factor, solve the ODE. Select the correct solution from this list. ¹/²(y+z)=0 0₂¹/²(y + ¹) = c ¹/²(y+1)-0 ¹/²(y+2³/³)-c ₂³/²(y+¹)=c
Transcribed Image Text:Now consider the in-exact ODE 2zy' + 3z + y = 0 for the next two parts. Select the integrating factor which makes this ODE exact. 0₂-1/2 Ory² 2¹/2y O²y Oy-1/2 Using the integrating factor, solve the ODE. Select the correct solution from this list. ¹/²(y+z)=0 0₂¹/²(y + ¹) = c ¹/²(y+1)-0 ¹/²(y+2³/³)-c ₂³/²(y+¹)=c
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