NCERT Solutions For Class 12 Maths Chapter 9 Differential Equations Exercise 9.2 Question 1 to 12 Answer: Downlaod pdf

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In each of the Exercises 1 to 10 verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

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Question 1:y = e x + 1 : y – y✂ = 0

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Question 2:y = x 2 + 2x + C : y✂ – 2x – 2 = 0

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Question 3:y = cos x + C : y✂ + sin x = 0

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Question 4:y = 2 1 x : y✂ = 2 1 xy x

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Question 5:y = Ax : xy✂ = y (x 0)

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Question 6:y = x sin x : xy✂ = y + x 2 2 x y (x 0 and x > y or x < – y)

Question 7:xy = log y + C : y✂ = 2 1 y xy (xy 1)

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Question 8:y – cos y = x : (y sin y + cos y + x) y✂ = y

In each of the Exercises 1 to 10 verify that the g

Question 9:x + y = tan–1y : y 2 y✂ + y 2 + 1 = 0

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Question 10:y = 2 2 a x x (–a, a) : x + y dy dx = 0 (y 0)

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Question 11:The number of arbitrary constants in the general solution of a differential equation of fourth order are: (A) 0 (B) 2 (C) 3 (D) 4

Question 12:The number of arbitrary constants in the particular solution of a differential equation of third order are: (A) 3 (B) 2 (C) 1 (D) 0

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