y' + y² sint = 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.CR: Chapter 11 Review
Problem 1CR
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Read the my text carefully Part B and Part D needed Needed to be solved part B and D Correctly in 30 minutes and get the thumbs up please show neat and clean work For part B show that y=0 Is also possible solution For Part D show that Y=+-1 is also possible solution
1.1%
5. Find the general solution to each of the following differential equations. Write
the solution in explicit form, wherever possible. Make sure to capture all possible solutions
to the differential equation in your final answer, for instance, also cases of y=const.
1²
(a) y'=
y(1+1³)
(b) y' + y² sint = 0
(c) y' = (cos² t) (cos²2y)
(d) ty' = (1-y2)¹/2, t>0
dy
t-e-t
dt
y+ey
(e)
=
Transcribed Image Text:1.1% 5. Find the general solution to each of the following differential equations. Write the solution in explicit form, wherever possible. Make sure to capture all possible solutions to the differential equation in your final answer, for instance, also cases of y=const. 1² (a) y'= y(1+1³) (b) y' + y² sint = 0 (c) y' = (cos² t) (cos²2y) (d) ty' = (1-y2)¹/2, t>0 dy t-e-t dt y+ey (e) =
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