NCERT Solutions For Class 12 Maths Chapter 9 Differential Equations Exercise 9.6 Question 1 to 19 Answer: Downlaod pdf

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For each of the differential equations given in Exercises 1 to 12, find the general solution:

Question 1:2 sin dy y x dx ✓

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Question 2:2 3 dy x y e dx ✔ ✓

Question 3:dy y 2 x dx x ✓

exercise 9.6 maths class 12 Chapter 9 Differential Equations

Question 4:sec tan 0 2 ✖ ✕ ✗ ✚ ✘ ✛ ✜ ✢ dy xy x x dx

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Question 5:2 cos tan dy x y x dx ✓ 0 2 x ✖ ✕ ✗ ✚ ✘ ✛ ✜ ✢

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Question 6:2 2 log dy x yx x dx ✓

Question 7:2 log log dy x xy x dx x ✓

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Question 8:(1 + x 2 ) dy + 2xy dx = cot x dx (x ✣ 0

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Question 9:cot 0 ( 0) dy x y xxyx x dx

Question 10:()1 dy x y dx

Question 11:y dx + (x – y 2 ) dy = 0

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Question 12:2 ( 3 ) ( 0) dy x y yy dx . For each of the differential equations given in Exercises 13 to 15, find a particular solution satisfying the given condition:

For each of the differential equations given in E

Question 13:2 tan sin ; 0 when 3 dy y x xy x dx

Question 14:2 2 1 (1 ) 2 ; 0 when 1 1 dy x xy y x dx x

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Question 15:3 cot sin 2 ; 2 when 2 dy y x xy x dx

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Question 16:Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x, y) is equal to the sum of the coordinates of the point.

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Question 17:Find the equation of a curve passing through the point (0, 2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.

Question 18:The Integrating Factor of the differential equation 2 2 dy x y x dx is (A) e –x (B) e –y (C) 1 x (D) x

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Question 19:The Integrating Factor of the differential equation 2 (1 ) dx y yx dy = ay y ( 1 1) is (A) 2 1 y 1 (B) 2 1 y 1 (C) 2 1 1 y (D) 2 1

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