Explanation Given information: The provided system is d x d t = 2 x and d y d t = − 3 y . Formula used: ∫ d x x = ln ( x ) + c If ln ( x ) = u then x = e u . Calculation: Consider d x d t = 2 x . Now, separate the variables and integrate on both sides. d x d t = 2 x d x x = 2 d t ∫ d x x = ∫ 2 d t ln ( x ) = 2 t + c x = e 2 t + c x = c 1 e 2 t Now, consider d y d t = − 3 y

4th Edition

ISBN: 9780495561989

Author: Paul Blanchard, Robert L. Devaney, Glen R. Hall

Publisher: Cengage Learning

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Chapter 2, Problem 9RE

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To find: The general solution of the system dxdt=2x and dyx=c1e2t,y=c2e−3t

dt=−3y .

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Chapter 2, Problem 8RE

Chapter 2, Problem 10RE

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Chapter 2 Solutions

Differential Equations

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The general solution of the system d x d t = 2 x and d y x = c 1 e 2 t , y = c 2 e − 3 t d t = − 3 y .

Solution Summary: The author explains the general solution of the given system, where c_1 and

Videos

To find: The general solution of the system dxdt=2x and dyx=c1e2t,y=c2e−3t

dt=−3y .

Want to see the full answer?

Chapter 2 Solutions

The general solution of the system d x d t = 2 x and d y x = c 1 e 2 t , y = c 2 e − 3 t d t = − 3 y .

Solution Summary: The author explains the general solution of the given system, where c_1 and

Videos

To find: The general solution of the system dxdt=2x and dyx=c1e2t,y=c2e−3t dt=−3y .

Want to see the full answer?

Chapter 2 Solutions

To find: The general solution of the system dxdt=2x and dyx=c1e2t,y=c2e−3t

dt=−3y .