H.W / Differential EquationsQ1/ Determine the order, degree of the differentialequations:1) y"- 5 Xy' = e*+12) у - 5x (у')? %3D e*+13) 5x + 3x2 - (sinx) y = 0dxQ2/ Show that y =e2x + e-3x is the solution to the y"+ y'-6y = 0Q3/ Solve the following equations:1- x(2y – 3)dx + (x² + 1)dy = 0dy2-dx4yх(у-3)3- y' = 2xy / (x² - y?)%3Ddy4 -dxx+y%3Dx-y5- (x²-3y² + x + y – 2)dx + (x – 6xy + y² + 10)dy = 0

Answered: Image /qna-images/answer/18d4afa9-2134-4091-8df9-e6c3fec5f031.jpg

Q1/ Determine the order, degree of the differential equations: 1) y"- 5 Xy' = et+ 1 2) y – 5x ( y')? = e*+ 1 d² y 3) 5x+ 3x2 - (sinx) y = 0 dx2 dx Q2/ Show that y=e2x + e-3x is the solution to the y"+ y' - 6y = 0

Q1/ Determine the order, degree of the differential equations: 1) y"- 5 Xy' = et+ 1 2) y – 5x ( y')? = e*+ 1 d² y 3) 5x+ 3x2 - (sinx) y = 0 dx2 dx Q2/ Show that y=e2x + e-3x is the solution to the y"+ y' - 6y = 0

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

H.W / Differential Equations
Q1/ Determine the order, degree of the differential
equations:
1) y"- 5 Xy' = e*+1
2) у - 5x (у')? %3D e*+1
3) 5x + 3x2 - (sinx) y = 0
dx
Q2/ Show that y =e2x + e-3x is the solution to the y"+ y'-
6y = 0
Q3/ Solve the following equations:
1- x(2y – 3)dx + (x² + 1)dy = 0
dy
2-
dx
4y
х(у-3)
3- y' = 2xy / (x² - y?)
%3D
dy
4 -
dx
x+y
%3D
x-y
5- (x²-3y² + x + y – 2)dx + (x – 6xy + y² + 10)dy = 0

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