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Solve the Differential Equation ytt+y=6secx by the method of variation of y ^ { tt } + y = 6 \sec x \text { by the method of variation of }

Question 38

Multiple Choice

Solve the differential equation ytt+y=6secx by the method of variation of y ^ { tt } + y = 6 \sec x \text { by the method of variation of } parameters.


A) y=(C1+6cotx) cosx+(C2+6x2) sinxy = \left( C _ { 1 } + 6 \cot x \right) \cos x + \left( C _ { 2 } + 6 x ^ { 2 } \right) \sin x
B) y=(C1+6lnsinx) cosx+(C2+6x) sinxy = \left( C _ { 1 } + 6 \ln | \sin x | \right) \cos x + \left( C _ { 2 } + 6 x \right) \sin x
C) y=(C1+6tanx) cosx+(C2+6x) sinxy = \left( C _ { 1 } + 6 \tan x \right) \cos x + \left( C _ { 2 } + 6 x \right) \sin x
D) y=(C1+6lncosx) cosx+(C2+6x) sinxy = \left( C _ { 1 } + 6 \ln | \cos x | \right) \cos x + \left( C _ { 2 } + 6 x \right) \sin x
E) y=(C1+6lncosx) cosx+(C2+6x2) sinxy = \left( C _ { 1 } + 6 \ln | \cos x | \right) \cos x + \left( C _ { 2 } + 6 x ^ { 2 } \right) \sin x

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