(5) Solve the initial value problem where (1+x²) dy dax + 2xy = f(x), y(0) = 0, f(x)= › = { x if 0 < x < 1 if r ≥ 1.

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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(5) Solve the initial value problem.
where
(1+x²)
dy
dx
f(x) =
+ 2xy = f(x), y(0) = 0.
X
if 0 <r <1
if r > 1.
Transcribed Image Text:(5) Solve the initial value problem. where (1+x²) dy dx f(x) = + 2xy = f(x), y(0) = 0. X if 0 <r <1 if r > 1.
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