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The following equation is a Bernoulli equation. Use the variable substitution z = y'/3 to reduce it to a linear equation. Give your answer in standard linear equation form. But DO NOT SOLVE the linear equation. dy e3y = dx sin(2x)y²/3

The following equation is a Bernoulli equation. Use the variable substitution z = y'/3 to reduce it to a linear equation. Give your answer in standard linear equation form. But DO NOT SOLVE the linear equation. dy e3y = dx sin(2x)y²/3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The following equation is a Bernoulli equation. Use the variable substitution z = y'/3 to reduce it to a linear equation. Give your answer in standard linear equation form. But DO N OT SOLVE the linear equation. dy e3"y = sin(2x)y²/3 dx
Transcribed Image Text:The following equation is a Bernoulli equation. Use the variable substitution z = y'/3 to reduce it to a linear equation. Give your answer in standard linear equation form. But DO N OT SOLVE the linear equation. dy e3"y = sin(2x)y²/3 dx
Expert Solution
Step 1

We are given the Bernoulli equation

dydx-e3xy=sin2xy2/3

We have to use the variable substitution z=y1/3 to reduce it to a linear equation.

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