Solve the following Differential Equation. Use bond paper for the answer sheet and make it PDF file when submitting. 1. Eliminate the arbitrary constant 1. x- 3x7y = C 2. y= 4ax 3. y = mx + h is a parameter

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Differential Equations
Solve the following Differential Equation. Use bond paper for the answer sheet and make it PDF file
when submitting.
1.
1. x- 3xy =C
2. y = 4ax
3. y = mx +h is a parameter
Eliminate the arbitrary constant
II.
Family of Curves
1. Find the differential equation of the family of line passing through the origin.
2. Find the differential equation of the parabolas with vertex at the origin with their foci on the
y-axis.
3. Find the differential equation of all circles with center on the line y = x and passing trough
the origin.
Solve the differential equation
III.
1. xy dy-2y +x*dx = 0
2. (x*y +y) dx -2x'dy = 0
3. sinx siny dx + cosx cosy dy = 0
4. y'= xev-x), when x = 0,y = 0
5. 2xy 1+y, when x = 2, y 3
dx
Transcribed Image Text:Solve the following Differential Equation. Use bond paper for the answer sheet and make it PDF file when submitting. 1. 1. x- 3xy =C 2. y = 4ax 3. y = mx +h is a parameter Eliminate the arbitrary constant II. Family of Curves 1. Find the differential equation of the family of line passing through the origin. 2. Find the differential equation of the parabolas with vertex at the origin with their foci on the y-axis. 3. Find the differential equation of all circles with center on the line y = x and passing trough the origin. Solve the differential equation III. 1. xy dy-2y +x*dx = 0 2. (x*y +y) dx -2x'dy = 0 3. sinx siny dx + cosx cosy dy = 0 4. y'= xev-x), when x = 0,y = 0 5. 2xy 1+y, when x = 2, y 3 dx
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