Formulate a differential equation that is satisfied by 1. y=Ae2+ Bxe2x 2x + Bxe2x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
ENG2014 (2EED) AY2021T2: Differential Equations
Formulate a differential equation that is satisfied by
1. y=Ae2*.
+ Bхe 2x
Determine the solution of the following differential equations. Use
each method (Variable Separable, Homogeneous Equations, Exact
Equations, Integrating Factor) only once.
2(2y²+5xy – 2y +4)dx+x(2x+2y – 1) dy=0
1.
(2y²sin²r + 3 + y) dx=(ysin2x – x – 2xy) dy
2.
(3x – y)dx – (x – 5y) dy=0
3.
II
Transcribed Image Text:ENG2014 (2EED) AY2021T2: Differential Equations Formulate a differential equation that is satisfied by 1. y=Ae2*. + Bхe 2x Determine the solution of the following differential equations. Use each method (Variable Separable, Homogeneous Equations, Exact Equations, Integrating Factor) only once. 2(2y²+5xy – 2y +4)dx+x(2x+2y – 1) dy=0 1. (2y²sin²r + 3 + y) dx=(ysin2x – x – 2xy) dy 2. (3x – y)dx – (x – 5y) dy=0 3. II
= X
ENG2014 (2EED) AY2021T2: Differential Equations
Determine the solution of the following differential equations. Use
each method (Variable Separable, Homogeneous Equations, Exact
Equations, Integrating Factor) only once.
1. 2(2y²+5xy – 2y+4)dx+x(2x+2y – 1) dy=0
2. (2y²sin²x +3+ y) dx=(ysin2x – x – 2xy) đdy
(3x- y)dx – (x– 5y)dy=0
3.
4. (xy – 5y)dx + (x²+ 2r – 3)dy=0
Transcribed Image Text:= X ENG2014 (2EED) AY2021T2: Differential Equations Determine the solution of the following differential equations. Use each method (Variable Separable, Homogeneous Equations, Exact Equations, Integrating Factor) only once. 1. 2(2y²+5xy – 2y+4)dx+x(2x+2y – 1) dy=0 2. (2y²sin²x +3+ y) dx=(ysin2x – x – 2xy) đdy (3x- y)dx – (x– 5y)dy=0 3. 4. (xy – 5y)dx + (x²+ 2r – 3)dy=0
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