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1.1. s. 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 t-e-t y+ey (e) dy dt

1.1. s. 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 t-e-t y+ey (e) dy dt

Calculus For The Life Sciences
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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1. 5.1 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. t² (a) y'= y(1+1³) (b) y' + y² sint = 0 (c) y' = (cos² t) (cos² 2y) (d) ty' = (1-y2)¹/2, dy t-e-t dt y + ey (e) t> 0
Transcribed Image Text:1. 5.1 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. t² (a) y'= y(1+1³) (b) y' + y² sint = 0 (c) y' = (cos² t) (cos² 2y) (d) ty' = (1-y2)¹/2, dy t-e-t dt y + ey (e) t> 0
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