Reduction of order can be used with y = 3x to find a second solution for the DE: xy" + 2xy' + 2y = 0. Select one: O True False Choose the suitable function y, for the method of reduction of order, to find a second solution y2 of the differential equation: y" +6 y'+9 y= 0.
Reduction of order can be used with y = 3x to find a second solution for the DE: xy" + 2xy' + 2y = 0. Select one: O True False Choose the suitable function y, for the method of reduction of order, to find a second solution y2 of the differential equation: y" +6 y'+9 y= 0.
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 5E
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Transcribed Image Text:Reduction of order can be used with yi 3x2
to find a second solution for the DE:
x*y" + 2xy' + 2y = 0.
%3D
Select one:
O True
False
Choose the suitable function y, for the method
of reduction of order, to find a second solution y,
of the differential equation:
y" +6 y'+9 y=D0.
-3x
None of them
O y, = e3x
O y, = e-4x
O y, = e-3x+ x
Two linearly independent solutions of the
differential equation y"+ 16 y= 0 are
O y, = cos(16x) and y2 = sin(16x)
-16x
O y, =e16X and y2 = e
O y, = cos(4x) and y, = sin(4x)
None of them
-4x
y, =e** and y2 = e
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