Solve the system of equations for u and v. While solving for these variables, consider the trigonometric

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Solve the system of equations for u and v. While solving for these variables, consider the trigonometric functions as constants. (Systems of this type appear in a course in differential equations.)
1.
u sin x + v cos x = 0 v sin x = sec x u cos x

2.

v sin 2x = 0 lu(-2 sin 2r) + v(2 cos 2x) = csc 2x u cos 2r +
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