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Given the coupled system x\' + 6y = 3, y\' - x = 4, a corresponding second order

ID: 2970058 • Letter: G

Question

Given the coupled system

x' + 6y = 3,

y' - x = 4,

a corresponding second order ODE in x alone would be Question 5 options: A) x'' + 6x = -24 B) x'' + 6x = -12 C) x'' + 6x = -8 D) x'' + 6x = -4 E) x'' + 6x = 4 F) x'' + 6x = 8 G) x'' + 6x = 12 H) x'' + 6x = 24 I) none of these Given the coupled system

x' + 6y = 3,

y' - x = 4,

a corresponding second order ODE in x alone would be Given the coupled system

x' + 6y = 3,

y' - x = 4,

a corresponding second order ODE in x alone would be A) x'' + 6x = -24 B) x'' + 6x = -12 C) x'' + 6x = -8 D) x'' + 6x = -4 E) x'' + 6x = 4 F) x'' + 6x = 8 G) x'' + 6x = 12 H) x'' + 6x = 24 I) none of these A) x'' + 6x = -24 B) x'' + 6x = -12 C) x'' + 6x = -8 D) x'' + 6x = -4 E) x'' + 6x = 4 F) x'' + 6x = 8 G) x'' + 6x = 12 H) x'' + 6x = 24 I) none of these A) x'' + 6x = -24 B) x'' + 6x = -12 C) x'' + 6x = -8 D) x'' + 6x = -4 E) x'' + 6x = 4 F) x'' + 6x = 8 G) x'' + 6x = 12 H) x'' + 6x = 24 I) none of these

Explanation / Answer

x' + 6y = 3,
differentiate

x'' + 6y' = 0


put y' - x = 4 => y' = 4 + x


x'' + 6*4 + 6x = 0

=>

x'' + 6x = -24


A) x'' + 6x = -24

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