If y=y(x) is the solution of the differential equation d y d x =( x-y) ^ 2 x, x (- 2 , 2…
Mathematics · JEE Main · NTA Exams — Differential Equations
If \(y=y(x)\) is the solution of the differential equation \(\frac{d y}{d x}=(\tan x-y) \sec ^{2} x, x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\), such that \(y(0)=0\), then \(y\left(-\frac{\pi}{4}\right)\) is equal to:
- \(\frac{1}{2}-e\)
- \(e-2\)
- \(z+\frac{1}{e}\)
- \(\frac{1}{e}-2\)
Answer
(A) 1 2 -e
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