Bernoulli DE solve dy tYY =xy% dX 1-x2

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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O DE Cinitial condiliom)
dy - 48-7x
1
+2
O0 Eristane and Uniquere s The seem
does follsuing IVP
dy
neesay to hane solălán
solakón
auniqjue
O if
Determme
a gran funitioo is Solābimog DE
determine 9f the tunction y= 5x+5 is a solatiön to DE
Sepaiable DE
Solue the erualiom
(O Bernoulli DE
Solve dy tYY =xh
d X 1-x²
☺ first Ordee Lineae DE
Solue eqjualión
Y'-y-xe-o
O Subsitelion
Solue The DE
esing
= axe43ed
subsititan metho>
Homegonenes DE
Solue
=0
txact DE
solve DE X dy
ーリカ
こ
Transcribed Image Text:O DE Cinitial condiliom) dy - 48-7x 1 +2 O0 Eristane and Uniquere s The seem does follsuing IVP dy neesay to hane solălán solakón auniqjue O if Determme a gran funitioo is Solābimog DE determine 9f the tunction y= 5x+5 is a solatiön to DE Sepaiable DE Solue the erualiom (O Bernoulli DE Solve dy tYY =xh d X 1-x² ☺ first Ordee Lineae DE Solue eqjualión Y'-y-xe-o O Subsitelion Solue The DE esing = axe43ed subsititan metho> Homegonenes DE Solue =0 txact DE solve DE X dy ーリカ こ
1. DE (initial conditions)
2. Existence and unique theorem
3. Determine if a given function is solution of DE
4. Determine the existence and uniqueness
5. Separable e DE
6. First linear DE
7. Substitutions
8. Homogeneous DE
9. Exact DE
10. Bernoulli equation
Transcribed Image Text:1. DE (initial conditions) 2. Existence and unique theorem 3. Determine if a given function is solution of DE 4. Determine the existence and uniqueness 5. Separable e DE 6. First linear DE 7. Substitutions 8. Homogeneous DE 9. Exact DE 10. Bernoulli equation
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