Find the general solution of the differential equation: (1+cos(I)y-(sin(x)y 2x y'+ sin(a) 1+co6(x), Step zero, the standard form of the equation is: 1+cos(x) First reol

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 17E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Find the general solution of the differential equation: (1+cos(r)y-(sin(r)y=2x
sin(a)
Step zero, the standard form of the cquation is:
y'+
1+cos(エ)
First real step, determine the integrating factor
Integrating factor=
Preview
Second, multiply both sides by the integrating factor.
Third, rewrite the equation in the form f(,y) = g(x)
Preview
Preview
= (I)6
Lastly, integrate to determine the general solution to the equation, using c for your constant of integration:
Preview
Transcribed Image Text:Find the general solution of the differential equation: (1+cos(r)y-(sin(r)y=2x sin(a) Step zero, the standard form of the cquation is: y'+ 1+cos(エ) First real step, determine the integrating factor Integrating factor= Preview Second, multiply both sides by the integrating factor. Third, rewrite the equation in the form f(,y) = g(x) Preview Preview = (I)6 Lastly, integrate to determine the general solution to the equation, using c for your constant of integration: Preview
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