Explanation Given information: The system of equations are d x d y = 2 x − 2 y 2 and d y d t = − 3 y . Calculation: Consider the function ( x ( t ) , y ( t ) ) = ( e − 6 t , 2 e − 3 t ) Differentiate with respect to t. ( d x d t , d y d t ) = ( − 6 e − 6 t , − 6 e − 3 t ) d x d t = − 6 e − 6 t ......... ( 1 ) d y d t = − 6 e − 3 t ...... ( 2 ) Consider 2 x − 2 y 2 2 x − 2 y 2 = 2 x ( t ) − 2 y ( t ) 2 = <

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ISBN: 9780495562009

Author: Blanchard Devaney Gl

Publisher: Cengage Learning

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Chapter 2, Problem 7RE

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To find: weather the function (x(t),y(t))=(e−6t,2e−3t) is solution to the given system or

not and to explain the reason.

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Chapter 2, Problem 6RE

Chapter 2, Problem 8RE

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Chapter 2 Solutions

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weather the function ( x ( t ) , y ( t ) ) = ( e − 6 t , 2 e − 3 t ) is solution to the given system or not and to explain the reason.

Solution Summary: The author explains whether the function (x(t),y (t))=(e-6t,2

Videos

To find: weather the function (x(t),y(t))=(e−6t,2e−3t) is solution to the given system or

not and to explain the reason.

Want to see the full answer?

Chapter 2 Solutions

weather the function ( x ( t ) , y ( t ) ) = ( e − 6 t , 2 e − 3 t ) is solution to the given system or not and to explain the reason.

Solution Summary: The author explains whether the function (x(t),y (t))=(e-6t,2

Videos

To find: weather the function (x(t),y(t))=(e−6t,2e−3t) is solution to the given system or not and to explain the reason.

Want to see the full answer?

Chapter 2 Solutions

To find: weather the function (x(t),y(t))=(e−6t,2e−3t) is solution to the given system or

not and to explain the reason.