NCERT Solutions For Class 12 Maths Chapter 9 Differential Equations Exercise 9.3 Question 1 to 12 Answer: Downlaod pdf

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In each of the Exercises 1 to 5, form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

ncert class 12 maths chapter 9 Differential Equations

Question 1:1 x y a b

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Question 2:y 2 = a (b 2 – x 2 )

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Question 3:y = a e 3x + b e – 2x

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Question 4:y = e 2x (a + bx)

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Question 5:y = e x (a cos x + b sin x)

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Question 6:Form the differential equation of the family of circles touching the y-axis at origin.

Question 7:Form the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis.

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Question 8:Form the differential equation of the family of ellipses having foci on y-axis and centre at origin.

In each of the Exercises 1 to 5, form a differenti

Question 9:Form the differential equation of the family of hyperbolas having foci on x-axis and centre at origin.

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Question 10:Form the differential equation of the family of circles having centre on y-axis and radius 3 units.

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Question 11:Which of the following differential equations has y = c1 e x + c2 e –x as the general solution? (A) 2 2 0 d y y dx (B) 2 2 0 d y y dx (C) 2 2 1 0 d y dx (D) 2 2 1 0 d y dx

Question 12:Which of the following differential equations has y = x as one of its particular solution? (A) 2 2 2 d y dy x xy x dx dx (B) 2 2 d y dy x xy x dx dx (C) 2 2 2 0 d y dy x xy dx dx (D) 2 2 0 d y dy x xy dx dx

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