The solution of the differential equation by variable separable method dy (1+y²) (3z²+6) dz 1³ +62 tan ¹ z = 6 ln(2³ +67)+c ○ tany=6 ln(2³ +67)+c ○ tan=¹y=6ln(2³ +67)+c O tan=¹y=6ln(2³ +1)+c

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The solution of the differential equation by variable separable method
(1+ 37) (3z² + 6)
dy
6-
dr
3+ 6z
tan 'r = 6 In(r + 6z) + c
O tan y = 6 In(r" + 6z) +c
O tan 'y = 6 In(x³ + 6x) + c
O tan 'y = 6 In(r³ +x) +c
Transcribed Image Text:The solution of the differential equation by variable separable method (1+ 37) (3z² + 6) dy 6- dr 3+ 6z tan 'r = 6 In(r + 6z) + c O tan y = 6 In(r" + 6z) +c O tan 'y = 6 In(x³ + 6x) + c O tan 'y = 6 In(r³ +x) +c
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