Please help me out with this Diff Eq Problem. Points will be awarded or the corr

Question

Please help me out with this Diff Eq Problem. Points will be awarded or the correct and quickest answer. If 3e3x(cos 2y)dx - 2e3x(sin 2y)dy = 0 and the solution contains the point (2/3, 3p/2), then Question 1 options: A) e3x(cos 2y) = 1 B) e3x(cos 2y) = -1 C) e3x(cos 2y) = e D) e3x(cos 2y) = -e E) e3x(cos 2y) = e2 F) e3x(cos 2y) = -e2 G) none of these is true. Please help me out with this Diff Eq Problem. Points will be awarded or the correct and quickest answer. Please help me out with this Diff Eq Problem. Points will be awarded or the correct and quickest answer. If 3e3x(cos 2y)dx - 2e3x(sin 2y)dy = 0 and the solution contains the point (2/3, 3p/2), then If 3e3x(cos 2y)dx - 2e3x(sin 2y)dy = 0 and the solution contains the point (2/3, 3p/2), then A) e3x(cos 2y) = 1 B) e3x(cos 2y) = -1 C) e3x(cos 2y) = e D) e3x(cos 2y) = -e E) e3x(cos 2y) = e2 F) e3x(cos 2y) = -e2 G) none of these is true. A) e3x(cos 2y) = 1 B) e3x(cos 2y) = -1 C) e3x(cos 2y) = e D) e3x(cos 2y) = -e E) e3x(cos 2y) = e2 F) e3x(cos 2y) = -e2 G) none of these is true. A) e3x(cos 2y) = 1 B) e3x(cos 2y) = -1 C) e3x(cos 2y) = e D) e3x(cos 2y) = -e E) e3x(cos 2y) = e2 F) e3x(cos 2y) = -e2 G) none of these is true.

Explanation / Answer

int 3e3x(cos 2y)dx =

e3x(cos 2y) + C

x = 2/3 , y = 3pi/2 -> e^2 * (-1) + C = 0 -> C = e^2

-> e3x(cos 2y) = -e^2

Answer F.

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