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Q1: 1. Find The Fourier series for the function defined by 0 < x < 4 -4 < x < 0S f(x) = {* =% X. -2

Q1: 1. Find The Fourier series for the function defined by 0 < x < 4 -4 < x < 0S f(x) = {* =% X. -2

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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Q1: 1. Find The Fourier series for the function defined by 0 < x < 4 -4 < x < 0S (х — 2 f(x) = {* -6 2. Find the Fourier Series for the following periodic functions 2: Solve the following first order differential equations Use any method: dy 1. dx y+3y 2x 2. 2x+ xy = ; 3. y cos(x)dx + 3sin(x)dy = 0 dy 4. dx sin(2x) = y cos(2x) Q3: ди ди ди for u = az 1. Find and дх' ду p-9 if p = x + y + z ,q = x+ y+ z,r = q-r x+y -z at the point (x, y, z) = (V3, 2,1). 2. Find if, y? – x² = sin(xy) dx
Transcribed Image Text:Q1: 1. Find The Fourier series for the function defined by 0 < x < 4 -4 < x < 0S (х — 2 f(x) = {* -6 2. Find the Fourier Series for the following periodic functions 2: Solve the following first order differential equations Use any method: dy 1. dx y+3y 2x 2. 2x+ xy = ; 3. y cos(x)dx + 3sin(x)dy = 0 dy 4. dx sin(2x) = y cos(2x) Q3: ди ди ди for u = az 1. Find and дх' ду p-9 if p = x + y + z ,q = x+ y+ z,r = q-r x+y -z at the point (x, y, z) = (V3, 2,1). 2. Find if, y? – x² = sin(xy) dx
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