It is known that y1 = e is a solution of the differential equation y' – 2e² + 4y – e²y² = 0. Find the general %3D solution.

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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It is known that yı = e is a solution of the differential equation y' – 2e + 4y – e"y? = 0. Find the general
solution.
1
a) y = e
e +ce 2z
1
b) y = e¯² +
e+ce
c) y = e
d) y = e +
1
e +ce?
1
е) попе
Transcribed Image Text:It is known that yı = e is a solution of the differential equation y' – 2e + 4y – e"y? = 0. Find the general solution. 1 a) y = e e +ce 2z 1 b) y = e¯² + e+ce c) y = e d) y = e + 1 e +ce? 1 е) попе
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,