(cos-isin) (cos 70+isin 70)-³ (cos 40+ i sin 40)² (cos+ i sin 0)³ Q2. Obtain the Power Series solution of the differential equation y"-xy'+y=0. Q1. Simplify using De Movier's Theorem.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Q1. Simplify
(cos-isin
) (cos 70+isin 70)
(cos 40+ i sin 40)² (cos+ i sin 0)³
using De Movier's Theorem.
Q2. Obtain the Power Series solution of the differential equation y"-xy'+y = 0.
Q3. Find the Fourier series for the function: f(x)=[x² for 1<x<1]
Q4. Find the Fourier cosine series for the function: f(x)=
1
0
for_0<x< 1/
1
for
<x<1
Transcribed Image Text:Q1. Simplify (cos-isin ) (cos 70+isin 70) (cos 40+ i sin 40)² (cos+ i sin 0)³ using De Movier's Theorem. Q2. Obtain the Power Series solution of the differential equation y"-xy'+y = 0. Q3. Find the Fourier series for the function: f(x)=[x² for 1<x<1] Q4. Find the Fourier cosine series for the function: f(x)= 1 0 for_0<x< 1/ 1 for <x<1
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