Home
Class 12
MATHS
The family y=Ax+A^(3) of curves is repre...

The family `y=Ax+A^(3)` of curves is represents by differential equation of degree

A

1

B

2

C

3

D

4

Text Solution

AI Generated Solution

To find the degree of the differential equation represented by the family of curves given by \( y = Ax + A^3 \), we will follow these steps: ### Step 1: Differentiate the equation We start with the equation of the family of curves: \[ y = Ax + A^3 \] We will differentiate both sides with respect to \( x \). ...
Promotional Banner

Similar Questions

Explore conceptually related problems

The curve amongst the family of curves, represented by the differential equation (x^2-y^2)dx+2xydy=0 which passes through (1,1) is

Consider the differential equation of the family of curves y^2=2a(x+sqrt(a)) , where a is a positive parameter.Statement 1: Order of the differential equation of the family of curves is 1.Statement 2: Degree of the differential equation of the family of curves is 2. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Represent the following family of curves by forming the corresponding differential equations (a, b are parameters) (i) x/a+y/b=1 (ii) (x^2)/(a^2)+(y^2)/(b^2)=1

Represent the following families of curves by forming the corresponding differential equations (a being parameter): (i) (x-a)^2-y^2=1 (ii) x^2+y^2=a x^3

Let y = (a sin x+ (b +c) cos x ) e ^(x+d), where a,b,c and d are parameters represent a family of curves, then differential equation for the given family of curves is given by y'' -alpha y'+betay=0, then alpha+ beta =

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters): (i) x^2+(y-b)^2=1 (ii) y=a x^3

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters): (i) x^2+y^2=a^2 (ii) x^2-y^2=a^2

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters): (i) (x^2)/(a^2)-(y^2)/(b^2)=1 (ii) y=e^(a x)

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters): (i) y^2=4a x (ii) y^2=4a(x-b)

Find one parameter families of solution curves of the following differential equations: (or solve the following differential equations): x(dy)/(dx)+y=x^4