Activity 3:The equilibrium equation of an engineering problem is described by the differential equation:dy· y tan x = 10 tan xdxDetermine the general solution of y(x) using two different techniques.tan x dx = - In(cos x) + CActivity 4:By applying Kirchhoff's Voltage Law to a series RL circuit, we obtain the differential equation:di4+ 2 i = f(t) , t>0dtwhere i(t) = electrical current in Amperes, and t = time in seconds.With zero initial condition (i(0) = 0), use Laplace transform to obtain the solutions to thedifferential equation, assuming:(4-a) f(t) = te¬t(4-b) f(t) = 2 sin 5t ... (for this... evaluate the generated solution in terms of transient andsteady-state regions)(4-с) f(€) 3D 4 u(t) — 3 и(t — 1)

Name: Activity 3:The equilibrium equation of an engineering problem is desc
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Description: Activity 3:The equilibrium equation of an engineering problem is described by the differential equation:dy· y tan x = 10 tan xdxDetermine the general solution of y(x) using two different techniques.tan x dx = - In(cos x) + CActivity 4:By applying Ki

We have to solve given problem: First method:

Answered: dy - y tan x = 10 tan x dx ution of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Activity 3:
The equilibrium equation of an engineering problem is described by the differential equation:
dy
· y tan x = 10 tan x
dx
Determine the general solution of y(x) using two different techniques.
tan x dx = - In(cos x) + C
Activity 4:
By applying Kirchhoff's Voltage Law to a series RL circuit, we obtain the differential equation:
di
4+ 2 i = f(t) , t>0
dt
where i(t) = electrical current in Amperes, and t = time in seconds.
With zero initial condition (i(0) = 0), use Laplace transform to obtain the solutions to the
differential equation, assuming:
(4-a) f(t) = te¬t
(4-b) f(t) = 2 sin 5t ... (for this... evaluate the generated solution in terms of transient and
steady-state regions)
(4-с) f(€) 3D 4 u(t) — 3 и(t — 1)

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