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1847 In x 5)- b) Show that the ode (x + tan-¹ y)dx + y dy = 0 is exact, then find the general solution and 1+ y² particular solution if the point (0,0), belongs to the solution.

1847 In x 5)- b) Show that the ode (x + tan-¹ y)dx + y dy = 0 is exact, then find the general solution and 1+ y² particular solution if the point (0,0), belongs to the solution.

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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Q1:al Byung all that apply, crassig he followe end dearon la 1) 43 dx³ 3) d³y degree y (dy 4 5 = 0 T MATAT 2) (1 dy dx mica dx² ovpler=3 degree=1 2x In x 5)- 4x17 b) Show that the ode (x + tan-¹ y)dx + + dy = 0 is exact, then find the general solution and x+y 1+ y² particular solution if the point (0,0), belongs to the solution. e\ Determine the Laplace transform of the function f(t) = (t + 2)².
Transcribed Image Text:Q1:al Byung all that apply, crassig he followe end dearon la 1) 43 dx³ 3) d³y degree y (dy 4 5 = 0 T MATAT 2) (1 dy dx mica dx² ovpler=3 degree=1 2x In x 5)- 4x17 b) Show that the ode (x + tan-¹ y)dx + + dy = 0 is exact, then find the general solution and x+y 1+ y² particular solution if the point (0,0), belongs to the solution. e\ Determine the Laplace transform of the function f(t) = (t + 2)².
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