Explanation Given: The differential equation is y ′ ( t ) = e t 2 y , y ( ln 2 ) = 1 . Calculation: Separate the y and t variables from the equation. y ′ ( t ) = e t 2 y d y d t = e t 2 y 2 y d y = e t d t Therefore, the given equation is separable. Integrate both side of the equation. ∫ 2 y d y = ∫ e t d t 2 ∫ y d y = ∫ e t d t 2 y 2 2 = e t + c y 2 = e t <

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ISBN: 9781323178522

Author: Briggs

Publisher: PEARSON

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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 D1.3, Problem 23E

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To determine: Whether the given equation are separable or not and to find the solution of the given equation.

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Chapter D1.3, Problem 22E

Chapter D1.3, Problem 24E

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Chapter D1 Solutions

CODE/CALC ET 3-HOLE

Ch. D1.1 - Prob. 1E Ch. D1.1 - Prob. 2E Ch. D1.1 - Prob. 3E Ch. D1.1 - If the general solution of a differential equation...Ch. D1.1 - Does the function y(t) = 2t satisfy the...Ch. D1.1 - Does the function y(t) = 6e3t satisfy the initial...Ch. D1.1 - Verifying general solutions Verify that the given...Ch. D1.1 - Verifying general solutions Verify that the given...Ch. D1.1 - Verifying general solutions Verify that the given...Ch. D1.1 - Verifying general solutions Verify that the given...

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T o determine: Whether the given equation are separable or not and to find the solution of the given equation.

Solution Summary: The author explains that the given differential equation is separable and the solution is y=sqrtet.

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To determine: Whether the given equation are separable or not and to find the solution of the given equation.

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Chapter D1 Solutions