Book back answers and solution for Exercise questions - Maths: Differential Equations : Formation of ordinary differential equations: Solved Example Problems with Answers, Solution

Exercise 4.1

1. Find the order and degree of the following differential equations.

2. Find the differential equation of the following

(i) *y* = *cx* + *c* − *c*3 (ii) *y* = *c* ( *x* − *c*)2 (iii) *xy* = *c*2 (iv) *x* 2 + *y*2 = *a*2

3. Form the differential equation by eliminating α and β (x-α)2+(y-β)2 = r2

4. Find the differential equation of the family of all straight lines passing through the origin.

5. Form the differential equation that represents all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x axis.

6. Find the differential equation of all circles passing through the origin and having their centers on the y axis.

7. Find the differential equation of the family of parabola with foci at the origin and axis along the x-axis.

Tags : Problem Questions with Answer, Solution , 12th Business Maths and Statistics : Chapter 4 : Differential Equations

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12th Business Maths and Statistics : Chapter 4 : Differential Equations : Exercise 4.1: Formation of ordinary differential equations | Problem Questions with Answer, Solution

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