(a) Solve: x2 dy – 2xy = 3y*. %3| dx (b) An electromotive force s120, 0 20 is applied to an LR series circuit in which the inductance is 20 henries and the resistance is 2 ohms. Derive the differential equation and find the current i(t) if i(0) = 0. %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2.
(a)
Solve:
dy
2ху
= 3y*.
dx
(b)
An electromotive force
E(t) = lo,
(120, 0 <t < 20
t > 20
%3D
is applied to an LR series circuit in which the inductance is 20 henries and the
resistance is 2 ohms. Derive the differential equation and find the current i(t) if
i(0) = 0.
Transcribed Image Text:2. (a) Solve: dy 2ху = 3y*. dx (b) An electromotive force E(t) = lo, (120, 0 <t < 20 t > 20 %3D is applied to an LR series circuit in which the inductance is 20 henries and the resistance is 2 ohms. Derive the differential equation and find the current i(t) if i(0) = 0.
Expert Solution
Step 1

Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy.

The total current entering a junction or a node is equal to the charge leaving the node as no charge is lost.

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