The complementary solution to the differential equation dy + (2x + 1)y = e- da is of the form Yc = Cf(x), where C is a constant and where f(x) is an expression with no constants.
The complementary solution to the differential equation dy + (2x + 1)y = e- da is of the form Yc = Cf(x), where C is a constant and where f(x) is an expression with no constants.
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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f(x) = e^[-(x2+1)]
Note: This will require integrating to find u(x), however don't add an
Transcribed Image Text:The complementary solution to the differential equation
dy
+ (2x + 1)y = e-
da
is of the form
Yc = Cf(x),
where C is a constant and where f(x) is an expression with no constants.
Transcribed Image Text:The particular integral y, is found by allowing the integration constant in the complementary solution,
Cf(x), to vary. (That is, y, = u(x)f(x).) The u(x) is a function that enables the y, to solve the full non-
Yc
homogeneous ODE. Find y, in this case.
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