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werty that the indicated function() explicit solution of the given first-order differential 2y² = y² cos(x) +0 SİN(4}}-\/2 when y=(1-sin(x))-1/2 Thus, in terms of x ✓cos(x) Since the left and right hand sides of the differen Proceed as in Example 6, by considering simp (442) 01-12) (x+2) (1) (2) Then by considering e as a solution of the differential equation, give at least one interval tof definition (2x,c) 02.-) (蛋蛋) equation are equal when (1-sinis substituted for y.y(2- function and give its domain

werty that the indicated function() explicit solution of the given first-order differential 2y² = y² cos(x) +0 SİN(4}}-\/2 when y=(1-sin(x))-1/2 Thus, in terms of x ✓cos(x) Since the left and right hand sides of the differen Proceed as in Example 6, by considering simp (442) 01-12) (x+2) (1) (2) Then by considering e as a solution of the differential equation, give at least one interval tof definition (2x,c) 02.-) (蛋蛋) equation are equal when (1-sinis substituted for y.y(2- function and give its domain

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Verify that the indicated function y(x) is an explicit solution of the given first-order differential equation 2y = cos(x): -(1-sinca))-¹/2 When y=(1-sin(x))-1/2 2y Thus, in terms of x y cos(x)= Since the left and right hand sides of the differential equation are equal when (1-sin(x))-1/2 is substituted for y. y(1-sin(x))-1/2 is a solution Proceed as in Example 6, by considering simply as a function and give its domain {***20m} 0{x|×-2} 0{2} (***) o{x|×-2} Then by considering p as a solution of the differential equation, give at least one interval I of definition O(21,00) O2,-) ○(공용)
Transcribed Image Text:Verify that the indicated function y(x) is an explicit solution of the given first-order differential equation 2y = cos(x): -(1-sinca))-¹/2 When y=(1-sin(x))-1/2 2y Thus, in terms of x y cos(x)= Since the left and right hand sides of the differential equation are equal when (1-sin(x))-1/2 is substituted for y. y(1-sin(x))-1/2 is a solution Proceed as in Example 6, by considering simply as a function and give its domain {***20m} 0{x|×-2} 0{2} (***) o{x|×-2} Then by considering p as a solution of the differential equation, give at least one interval I of definition O(21,00) O2,-) ○(공용)
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