A function y = f (x) satisfies (x + 1) . f ′ (x) – 2 (x 2 + x) f (x) = e ^ x ^ 2 ( x +1)…

Mathematics · JEE Advanced · NTA Exams — Differential Equations

1. \(\left(\frac{3 x+5}{x+1}\right) \cdot e^{x^{2}}\)
2. \(\left(\frac{6 x+5}{x+1}\right) \cdot e^{x^{2}}\)
3. \(\left(\frac{6 x+5}{(x+1)^{2}}\right) \cdot e^{x^{2}}\)
4. \(\left(\frac{5-6 x}{x+1}\right) \cdot e^{x^{2}}\)

Answer

(B) ( 6 x+5 x+1 ) e^ x^ 2

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