Explanation Given: The differential equation is given by, 3 y ′ − 7 y = 0 ... ( 1 ) The value of y is given by, y = e r t ... ( 2 ) Formula used: The solution of the first order differential equation is, y = c e r t ... ( 3 ) Here, the root of the auxiliary equation is r , the constant is c . Calculation: Differentiate the equation ( 2 ) . y ′ = d d t ( e r t ) y ′ = r e r t Substitute r e r t for y ′ and e r t for y in equation ( 1 )

Fundamentals of Differential Equations and Boundary Value Problems

7th Edition

ISBN: 9780321977106

Author: Nagle, R. Kent

Publisher: Pearson Education, Limited

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 4.2, Problem 22E

To determine

To find:

The general solution to the equation 3y′−7y=0

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Chapter 4.2, Problem 21E

Chapter 4.2, Problem 23E

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Fundamentals of Differential Equations and Boundary Value Problems

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