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❓ Question If y = f ( x ) y=f(x)  satisfies the differential equation x d y d x − sin ⁡ 2 y = x 3 cos ⁡ 2 y x\frac{dy}{dx}-\sin 2y=x^3\cos^2 y an…

❓ Question Evaluate: lim ⁡ x → 0 ln ⁡ ( sec ⁡ ( e x ) sec ⁡ ( e 2 x ) sec ⁡ ( e 3 x ) ⋯ sec ⁡ ( e 10 x ) ) e 2 − e 2 cos ⁡ x \lim_{x\to0} \frac{ …