Explanation Given: The differential equations and solutions are:; Differential equation Solution y ′ − 2 x = 0 ( a ) y = C e x 2 y ′ − 2 y = 0 ( b ) y = − 1 2 + C e x 2 y ′ − 2 x y = 0 ( c ) y = x 2 + C y ′ − 2 x y = x ( d ) y = C e 2 x Explanation: The differential equation is; y ′ − 2 x y = 0 The equation is of the form of d y d x + P ( x ) y = Q ( x ) Where, P ( x ) = − 2 x Q ( x ) = 0 Therefore, the general solution is of the form as; y

10th Edition

ISBN: 9781285057095

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Differential Equations

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Chapter 6.4, Problem 45E

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The correct match for the differential equation y′−2xy=0 from the options:

Differential equation Solution

y′−2x=0 (a)y=Cex2

y′−2y=0 (b)y=−12+Cex2

y′−2xy=0 (c)y=x2+C

y′−2xy=x (d)y=Ce2x

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Chapter 6 Solutions

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Ch. 6.1 - Verifying a Solution In Exercises 18, verify the...Ch. 6.1 - Verifying a Solution In Exercises 510, verify that...Ch. 6.1 - Verifying a Solution In Exercises 18, verify the...Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Verifying a Solution In Exercises 510, verify that...Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

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The correct match for the differential equation y ′ − 2 x y = 0 from the options: Differential equation Solution y ′ − 2 x = 0 ( a ) y = C e x 2 y ′ − 2 y = 0 ( b ) y = − 1 2 + C e x 2 y ′ − 2 x y = 0 ( c ) y = x 2 + C y ′ − 2 x y = x ( d ) y = C e 2 x

Solution Summary: The author explains that the solution of the differential equation yprime -2xy=0 is option (a).

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The correct match for the differential equation y′−2xy=0 from the options:

Differential equation Solution

y′−2x=0 (a)y=Cex2

y′−2y=0 (b)y=−12+Cex2

y′−2xy=0 (c)y=x2+C

y′−2xy=x (d)y=Ce2x

Chapter 6 Solutions

Differential equation	Solution
y′−2x=0	(a)y=Cex2
y′−2y=0	(b)y=−12+Cex2
y′−2xy=0	(c)y=x2+C
y′−2xy=x	(d)y=Ce2x

The correct match for the differential equation y ′ − 2 x y = 0 from the options: Differential equation Solution y ′ − 2 x = 0 ( a ) y = C e x 2 y ′ − 2 y = 0 ( b ) y = − 1 2 + C e x 2 y ′ − 2 x y = 0 ( c ) y = x 2 + C y ′ − 2 x y = x ( d ) y = C e 2 x

Solution Summary: The author explains that the solution of the differential equation yprime -2xy=0 is option (a).

Concept explainers

Videos

The correct match for the differential equation y′−2xy=0 from the options: Differential equation Solution y′−2x=0 (a)y=Cex2 y′−2y=0 (b)y=−12+Cex2 y′−2xy=0 (c)y=x2+C y′−2xy=x (d)y=Ce2x

Chapter 6 Solutions

The correct match for the differential equation y′−2xy=0 from the options:

Differential equation Solution

y′−2x=0 (a)y=Cex2

y′−2y=0 (b)y=−12+Cex2

y′−2xy=0 (c)y=x2+C

y′−2xy=x (d)y=Ce2x