Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. (D+3)[u] - (D+3)[v] = et (D-1)[u]+(4D+1)[v] = 7 + A. ue +2e + 4 + 5' OB. The system is degenerate. OC. u(t)=C+C₂te³t D. u(t)=C₁+C2e3t. + + 1 1 4 et + 7 5t 7 et + 4 5¹ 1 7 OE. u(t)=C₁+C2e³t. + e² + 4 5 Now find v(t) so that v(t) and the solution for u(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. v(t) = C₁ + C₂e 7 3t + 5 OB. The system is degenerate.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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Find V(t)
Use the elimination method to find a general solution for the given linear system, where differentiation is with
respect to t.
(D+3)[u] - (D+3)[V] = et
(D-1)[u]+(4D+1)[v] = 7
A. ue + 2e
+ 4 + 5'
OB. The system is degenerate.
OC. u(t)=C₁+C₂te³t
D. u(t)=C₁+C2e3t.
+
+
1
1
4
et
et
+
7
5t
7
+
4
5¹
1
7
OE. u(t)=C₁+C2e3t.
+
e² +
4
5
Now find v(t) so that v(t) and the solution for u(t) found in the previous step are a general solution to the system
of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
OA. v(t) = C₁ + C₂e
7
3t
+
5
OB. The system is degenerate.
Transcribed Image Text:Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. (D+3)[u] - (D+3)[V] = et (D-1)[u]+(4D+1)[v] = 7 A. ue + 2e + 4 + 5' OB. The system is degenerate. OC. u(t)=C₁+C₂te³t D. u(t)=C₁+C2e3t. + + 1 1 4 et et + 7 5t 7 + 4 5¹ 1 7 OE. u(t)=C₁+C2e3t. + e² + 4 5 Now find v(t) so that v(t) and the solution for u(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. v(t) = C₁ + C₂e 7 3t + 5 OB. The system is degenerate.
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