Explanation Given: The differential equation is: d y d x = ( 4 − e 2 x ) 2 . Formula used: The general exponential formula of integration is: ∫ e a x d x = 1 a e a x + C Calculation: Consider the provided differential equation, d y d x = ( 4 − e 2 x ) 2 d y d x = ( 4 ) 2 − 2 ⋅ 4 ⋅ e 2 x + ( e 2 x ) 2 d y = ( 16 − 8 e 2 x + e 4 x ) d x

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ISBN: 8220100475559

Author: Edwards

Publisher: YUZU

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Differential Equations

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Chapter 8.1, Problem 52E

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To calculate: A general solution for the differential equation dydx=(4−e2x)2.

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Chapter 8.1, Problem 51E

Chapter 8.1, Problem 53E

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EBK CALCULUS: EARLY TRANSCENDENTAL FUNC

Ch. 8.1 - Choosing an Antiderivative In Exercises 3 and 4,...Ch. 8.1 - Choosing an Antiderivative In Exercises 14, select...Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Choosing a Formula In Exercises 5-14, select the...Ch. 8.1 - Choosing a Formula In Exercises 5-14, select the...Ch. 8.1 - Choosing a Formula In Exercises 5-14, select the...Ch. 8.1 - Choosing a Formula In Exercises 5-14, select the...Ch. 8.1 - Choosing a Formula In Exercises 5-14, select the...Ch. 8.1 - Choosing a Formula In Exercises 5-14, selectthe...

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A general solution for the differential equation d y d x = ( 4 − e 2 x ) 2 .

Solution Summary: The author explains that the general solution for the provided differential equation is: y=2e4x+16x+C.

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To calculate: A general solution for the differential equation dydx=(4−e2x)2.

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Chapter 8 Solutions