Home
Class 12
MATHS
Form the differential equation of the fa...

Form the differential equation of the family curves having equation `y=(sin^(-1)x)^(2)+Acos^(-1)x+B`.

Text Solution

AI Generated Solution

To form the differential equation of the family of curves given by the equation: \[ y = (\sin^{-1} x)^2 + A \cos^{-1} x + B \] we will follow these steps: ### Step 1: Differentiate the given equation with respect to \( x \) ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise EXAMPLES|18 Videos
  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISES 10.1|6 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos
  • DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

Form a differential equation of the family of the curves y^(2)=4ax

Form a differential equation of the family of the curves y^2 =4ax .

Form the differential equation of the family of curves represented by y^2=(x-c)^3 .

Find the differential equation of the family of curves given by x^2+y^2=2ax

The differential equation of family of curves of y^(2)=4a(x+a) is

The differential equation representing the family of curve y=mx is

The differential equation of family of curves x^(2)+y^(2)-2ax=0 , is

The differential equation of the family of curves, x^(2)=4b(y+b),b in R, is :

The differential equation of the curve x/(c-1)+y/(c+1)=1 is

Form the differential equation having y=(sin^(-1) x)^2 +A cos^(-1) x +B where A and B are arbitrary constants, as its general solution