Give the substitution that converts the given nonlinear equation into a linear equation then solve the initial value problem. y'-2y = y², y(0) = 1 a. y(x)=3/1+ v(x) = b. y(x) = — 2 1+e-2x c. y(x) = - d. y=3 e. y² = 1 e¹[t + 1 + e] t6 +1 2t3 5t 2+5 Ct5

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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Give the substitution that converts the given nonlinear equation into a
linear equation then solve the initial value problem.
y'-2y = y², y(0) = 1
a. y(x)=3/1+
v(x) =
b. y(x) =
—
2
1+e-2x
c. y(x) = -
d. y=3
e. y² =
1
e¹[t + 1 + e]
t6 +1
2t3
5t
2+5 Ct5
Transcribed Image Text:Give the substitution that converts the given nonlinear equation into a linear equation then solve the initial value problem. y'-2y = y², y(0) = 1 a. y(x)=3/1+ v(x) = b. y(x) = — 2 1+e-2x c. y(x) = - d. y=3 e. y² = 1 e¹[t + 1 + e] t6 +1 2t3 5t 2+5 Ct5
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