Please explain how each step of the problem given in details, especially the red marked arrow 0ttdt =0บ|- -|tdtdt=0บdvadv9.81 [1 – v² (10−4)] m/s²dv9.81 [1 – (0.01 v)²]tdt19.81/dv1t=50 In9.812 (1+0.01v)In (1+0.01v1-0.01v=9.81t 50 In1+0.01v1-0.01v(2).+dv2 (1 -0.01v)

9.81t = 50 ln((1+0.01v)/(1-0.01v))Explanation: Formula used: log(x)-log(y)=log(x/y)

Answered: 0 t t dt = 0 บ |- -| t dt dt = 0 บ dv a…

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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0 t t dt = 0 บ |- -| t dt dt = 0 บ dv a dv 9.81 [1 – v² (10−4)] m/s² dv 9.81 [1 – (0.01 v)²] t dt 1 9.81 / dv 1 t = 50 In 9.81 2 (1+0.01v) In (1+0.01v 1-0.01v = 9.81t 50 In 1+0.01v 1-0.01v (2). + dv 2 (1 -0.01v)