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Consider the differential equation y+3y¹ = (y³ + 3x) y' where y(0) = 1. Solve this equation by the following method: First, find a suitable integrating factor to obtain an implicit solution F(x, y) C. This implicit solution cannot be solved explicitly for y but it can be solved explicitly for x: =

Consider the differential equation y+3y¹ = (y³ + 3x) y' where y(0) = 1. Solve this equation by the following method: First, find a suitable integrating factor to obtain an implicit solution F(x, y) C. This implicit solution cannot be solved explicitly for y but it can be solved explicitly for x: =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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Consider the differential equation y+3y¹ = (y³ + 3x)y' where y(0) = 1. Solve this equation by the following method: First, find a suitable integrating factor to obtain an implicit solution F(x, y) = C. This implicit solution cannot be solved explicitly for y but it can be solved explicitly for x: x = Iny/3
Transcribed Image Text:Consider the differential equation y+3y¹ = (y³ + 3x)y' where y(0) = 1. Solve this equation by the following method: First, find a suitable integrating factor to obtain an implicit solution F(x, y) = C. This implicit solution cannot be solved explicitly for y but it can be solved explicitly for x: x = Iny/3
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