Solve the initial value problem (a differential equation) y" + 3y' +2y = 8 (t – 1), y (0) = 0, y' (0) = 1 O y(t) = e+e ", if 0 1 - e O y (t) = et - e 4, if 0 < t < 1; O y (t) = e - e", if 0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Solve the initial value problem (a differential equation) y" +3y' + 2y = 8 (t – 1).
y (0) = 0, y' (0) = 1
O y (t) = e+e 24, if 0 < t < 1;
O y (t) = e t+e 4, if 0 <t < 1;
O None of the above
O y (t) = 0, if 0 <t < 1; y (t) = e t+1
2(t-1) ift > 1
%3D
- e
O y (t) = e
2t
-e
if 0 <t < 1;
O y (t) = et – e2", if 0 <t < 1;
O y (t) = et- e 4, if 0 <t < 1;
Transcribed Image Text:Solve the initial value problem (a differential equation) y" +3y' + 2y = 8 (t – 1). y (0) = 0, y' (0) = 1 O y (t) = e+e 24, if 0 < t < 1; O y (t) = e t+e 4, if 0 <t < 1; O None of the above O y (t) = 0, if 0 <t < 1; y (t) = e t+1 2(t-1) ift > 1 %3D - e O y (t) = e 2t -e if 0 <t < 1; O y (t) = et – e2", if 0 <t < 1; O y (t) = et- e 4, if 0 <t < 1;
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