Prove that the general solution of the differential equation √√1+cos(t) d0=(√1 + cos(t) — t sin(t) 0(t))dt is - -2t√√1+cos(t)+4√√1-cos(t) Se dt + C 0(t) = C 2t√√11 cos(t) 4√1 cos(t)

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 34CR
icon
Related questions
Question
Prove that the general solution of the differential equation
√1 + cos(t) d0=(√1 + cos(t) — t sin(t) 0(t))dt is
-2t√1+cos(t)+4√√1-cos(t)
So
с
'dt + C
0(t):
-
C
2t √11 cos(t) 14√1 cos(t)
Transcribed Image Text:Prove that the general solution of the differential equation √1 + cos(t) d0=(√1 + cos(t) — t sin(t) 0(t))dt is -2t√1+cos(t)+4√√1-cos(t) So с 'dt + C 0(t): - C 2t √11 cos(t) 14√1 cos(t)
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,