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hram777 [196]
3 years ago
10

Solve the following differential equations using classical methods. x¨ + 6 ˙x + 8x = 5sin(3t) x¨ + 4 ˙x = t2 ; x(0) = 1; ˙x = 2

Mathematics
1 answer:
valkas [14]3 years ago
5 0

Answer:

1. x = (199/130)e^(-2t) - (33/65)e^(-4t) - (18/65)cos3t - (1/65)sin3t

2. x = (191/128) - (63/128)e^(-4t) + (t³/12) - (t²/16) + (t/32)

Step-by-step explanation:

Steps are shown in the attachment.

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