TS EAMCET · Maths · Differential Equations
Let \(\mathrm{S}\) be the family of curves given by the general solution of the differential equation \(\frac{y^2 e^{-1 / y}}{\sqrt{x}} d x-2 \sec \sqrt{x} d y=0\). Then the equation of the curve belonging to \(\mathrm{S}\) and passing through \(\left(\pi^2, 1\right)\) is
- A \(\sin \sqrt{x}+e^{1 / y}=1+e\)
- B \(\cos \sqrt{x}+e^y=e-1\)
- C \(\sin \sqrt{x}+e^{1 / y}=e\)
- D \(\cos \sqrt{x}+e^y=e\)
Answer & Solution
Correct Answer
(C) \(\sin \sqrt{x}+e^{1 / y}=e\)
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Detailed explanation
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