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The General Solution of the First-Order Differential Equation y+(cotx)y=secxy ^ { \prime } + ( \cot x ) y = \sec x

Question 2

Multiple Choice

The general solution of the first-order differential equation y+(cotx) y=secxy ^ { \prime } + ( \cot x ) y = \sec x is


A) ysinx=ln(coscx) +Cy \sin x = \ln ( \operatorname { cosc } x ) + C
B) ycosx=ln(secx) +Cy \cos x = \ln ( \sec x ) + C
C) ysinx=ln(secx) +Cy \sin x = \ln ( \sec x ) + C
D) ycosx=ln(cosx) +Cy \cos x = \ln ( \cos x ) + C
E) ysecx=ln(sinx) +Cy \sec x = \ln ( \sin x ) + C

Correct Answer:

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