11-14, verify that the function is a particular solution of the differential equation. Function 11. y sin x cos x - cos²x Differential Equation and Initial Condition 2y + y'= 2 sin 2x x (²) = 4 = 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 9E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Verifying a Particular Solution
In Exercises
11-14, verify that the function is a particular
solution of the differential equation.
Function
11. y sin x cos x -
=
cos² x
Differential Equation
and Initial Condition
2y + y'= 2 sin 2x - 1
π
4
=
0
Transcribed Image Text:Verifying a Particular Solution In Exercises 11-14, verify that the function is a particular solution of the differential equation. Function 11. y sin x cos x - = cos² x Differential Equation and Initial Condition 2y + y'= 2 sin 2x - 1 π 4 = 0
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