Find an explicit solution of the given initial-value problem. √2 √₁-y² dx - 1- √1-x² dy = 0, y(0) = 2 y =

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
Section11.2: Linear First-order Differential Equations
Problem 2YT: YOUR TURN Solve the initial value problem dydx+2xyxex2=0 with y(0)=3.
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E1 #5 #6
5
Find an explicit solution of the given initial-value problem.
√2
√₁-y² dx - √₁-x² dy = 0, y(0) =
1
2
y =
Transcribed Image Text:5 Find an explicit solution of the given initial-value problem. √2 √₁-y² dx - √₁-x² dy = 0, y(0) = 1 2 y =
6
Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate integrating factor.
(14 - 10y + e-5x) dx - 2 dy = 0
Transcribed Image Text:6 Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate integrating factor. (14 - 10y + e-5x) dx - 2 dy = 0
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