Differential Equation Solution for Cosine Value…

First Order Differential Equations

Hard

Differential Equation Solution for Cosine Value

If a curve y = y(x) passes through the point $\left( {1,\;\frac{\pi }{2}} \right)$ and satisfies the differential equation (7x⁴ cot y – e^x cosecy) $\frac{{dx}}{{dy}}$ = x⁵, x ≥ 1, then at x = 2, the value of cosy is:

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