Solve the initial value problem y" + 6y' +9y = 0, y(-1) = 2, y'(-1) = 3. y(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Differential equations
Solve the initial value problem y" + 6y' +9y = 0, y(-1) = 2,
y'(-1) = 3.
y(t) =
Transcribed Image Text:Solve the initial value problem y" + 6y' +9y = 0, y(-1) = 2, y'(-1) = 3. y(t) =
Use the method of reduction of order to find a second solution of
the differential equation
ty" + 6ty' + 4y = 0, t> 0; y₁(t) = t¹
NOTE: Use t as the independent variable. Do not use arbitrary constants.
y₂(t)=
=
Transcribed Image Text:Use the method of reduction of order to find a second solution of the differential equation ty" + 6ty' + 4y = 0, t> 0; y₁(t) = t¹ NOTE: Use t as the independent variable. Do not use arbitrary constants. y₂(t)= =
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