Differential EquationHard

Question

If y(x) satisfies the differential equation y′ - ytanx = 2x secx and y(0) = 0, then

Options

A.
B.
C.
D.

Solution

- y tan x = 2x sec x
cos x + (- sin x) y = 2x
(y cos x) = 2x
y (x) cos x = x2 + c, where c = 0 since y (0) = 0
when x = , when x =
when x =
when x =

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