2 (SEPARABLE): a) Determine if the ODEs below are (1) Linear, (2) Separable dy dt 213 y² + 2y² t yy' + 1+t² yy' - sin(ty) = 0 b) Let a, b be constants. Use separation of variables to solve the ODE dy dt = = 1 + ay = b

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
6
2 (SEPARABLE): a) Determine if the ODEs below are (1) Linear, (2)
Separable
dy
dt
=
213
y² + 2y²
t
yy' +
1 + t²
yy
sin(ty) = 0
b) Let a, b be constants. Use separation of variables to solve the ODE
dy
dt
= 1
+ ay = b
Transcribed Image Text:6 2 (SEPARABLE): a) Determine if the ODEs below are (1) Linear, (2) Separable dy dt = 213 y² + 2y² t yy' + 1 + t² yy sin(ty) = 0 b) Let a, b be constants. Use separation of variables to solve the ODE dy dt = 1 + ay = b
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