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Practice Exercise: Find the differential equations of the following by eliminating the arbitrary constants. 1. у %3D 2х + сех ans: y' - у + 2х - 2 %3D 0 2. y = c,e* + C2e2x + x ans: y" - Зу - 2х + 2у + 3 %3D 0 3. y = c, ex cos3x + c2 ex sin3x ans: y" – 2y' + 10y = 0 %3D 4. y = c, sin wt + c2 cos wt w is a parameter 5. (y – k)? = 4a (x – h) parameter parabola with vertex at (h,k), and a as

Practice Exercise: Find the differential equations of the following by eliminating the arbitrary constants. 1. у %3D 2х + сех ans: y' - у + 2х - 2 %3D 0 2. y = c,e* + C2e2x + x ans: y" - Зу - 2х + 2у + 3 %3D 0 3. y = c, ex cos3x + c2 ex sin3x ans: y" – 2y' + 10y = 0 %3D 4. y = c, sin wt + c2 cos wt w is a parameter 5. (y – k)? = 4a (x – h) parameter parabola with vertex at (h,k), and a as

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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ANSWER NUMBER 1 & 3 & 5. THANK U

Practice Exercise: Find the differential equations of the following by eliminating the arbitrary constants. 1. у %3D 2х + сех ans: y' - у + 2х - 2 %3D 0 2. y = c,ex + C2e2x + x ans: y" - 3y' - 2х + 2у + 3 %3D 0 3. у %3 С, ех cos3x + с, ex sin3xх ans: y" – 2y' + 10y = 0 4. y = c, sin wt + C2 cos wt w is a parameter 5. (у — k)2 %3D 4a (х - Һ) parameter parabola with vertex at (h,k), and a as
Transcribed Image Text:Practice Exercise: Find the differential equations of the following by eliminating the arbitrary constants. 1. у %3D 2х + сех ans: y' - у + 2х - 2 %3D 0 2. y = c,ex + C2e2x + x ans: y" - 3y' - 2х + 2у + 3 %3D 0 3. у %3 С, ех cos3x + с, ex sin3xх ans: y" – 2y' + 10y = 0 4. y = c, sin wt + C2 cos wt w is a parameter 5. (у — k)2 %3D 4a (х - Һ) parameter parabola with vertex at (h,k), and a as
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