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dy - y tan x = 10 tan x dx ution of y(x) using two different techniques. Hint: tan x dx = - In(cos x) + C

dy - y tan x = 10 tan x dx ution of y(x) using two different techniques. Hint: tan x dx = - In(cos x) + C

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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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)
Transcribed Image Text: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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