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The Solution of the System of Differential Equations in the Previous

Question 32

Multiple Choice

The solution of the system of differential equations in the previous problem is


A) x=c1e0.3t,y=3c1e03t+c2e02t,z=c33c1e0.3tc2e0.2tx = c _ { 1 } e ^ { - 0.3 t } , y = - 3 c _ { 1 } e ^ { - 03 t } + c _ { 2 } e ^ { - 02 t } , z = c _ { 3 } - 3 c _ { 1 } e ^ { - 0.3 t } - c _ { 2 } e ^ { - 0.2 t } .

B) x=c1e02t,y=2c1e0.2t+c2e0.3t,z=c3+2c1e0.3tc2e0.2tx = c _ { 1 } e ^ { - 02 t } , y = - 2 c _ { 1 } e ^ { - 0.2 t } + c _ { 2 } e ^ { - 0.3 t } , z = c _ { 3 } + 2 c _ { 1 } e ^ { - 0.3 t } - c _ { 2 } e ^ { - 0.2 t } .

C) x=c1e0.3t,y=3c1e03t+c2e02t,z=c3+2c1e0.3t+c2e0.2tx = c _ { 1 } e ^ { - 0.3 t } , y = - 3 c _ { 1 } e ^ { - 03 t } + c _ { 2 } e ^ { - 02 t } , z = c _ { 3 } + 2 c _ { 1 } e ^ { - 0.3 t } + c _ { 2 } e ^ { - 0.2 t }

D) x=c1e0.3t,y=3c1e03t+c2e02t,z=c3+2c1e0.3tc2e0.2tx = c _ { 1 } e ^ { - 0.3 t } , y = - 3 c _ { 1 } e ^ { - 03 t } + c _ { 2 } e ^ { - 02 t } , z = c _ { 3 } + 2 c _ { 1 } e ^ { - 0.3 t } - c _ { 2 } e ^ { - 0.2 t } .

E) x=c1e02t,y=2c1e0.2t+c2e0.3t,z=c3+2c1e0.3tc2e0.2tx = c _ { 1 } e ^ { - 02 t } , y = - 2 c _ { 1 } e ^ { - 0.2 t } + c _ { 2 } e ^ { - 0.3 t } , z = c _ { 3 } + 2 c _ { 1 } e ^ { - 0.3 t } - c _ { 2 } e ^ { - 0.2 t }

Correct Answer:

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