Home
Class 12
MATHS
(dy)/(dx)=(y^(2)+y+1)/(x^(2)+x+1)...

`(dy)/(dx)=(y^(2)+y+1)/(x^(2)+x+1)`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise EXERCISE 11|24 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise PART -A|30 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion -Reason Type )|2 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for competitive Exams ( E Assertion-Reason Type )|1 Videos

Similar Questions

Explore conceptually related problems

If x=y^(y^(y^(...oo))) , then show that, (dy)/(dx)=(y(1-x logy))/(x^(2)) .

xy(dy)/(dx)=(1+y^(2))/(1+x^(2))(1+x+x^(2))

(dy)/(dx)=(y(2y-x))/(x(2y+x))=0 , given y=1, when x=1

If y=x^(x^(x^(...oo))) , then prove that, (dy)/(dx)=(y^(2))/(x(1-y log x)) .

Solve the differential equation x y(dy)/( dx)=(1+y^2)/(1+x^2)(1+x+x^2)

The solutions of (dy)/(dx)=(x^(2)+y^(2)+1)/(2xy) satisfying y(1)=1 is given by -

(dy)/(dx) = (1 + x^(2))(1 + y^(2))

For each of the following differential equations verify that the accompanying functions a solution. Differential Function (a) x(dy)/(dx)=y, y=a x (b) x+y(dy)/(dx)=0, y=+-sqrt(a^2-x^2) (c) x(dy)/(dx)y=y^2, y=a/(x+a) (d) x^3(d^2y)/(dx^2)=1, y=a x+b+1/(2x) (e) y=((dy)/(dx))^2, y=1/4(x+-a)^2

The solution of (dy)/(dx)=(x^2+y^2+1)/(2x y) satisfying y(1)=1 is given by

If e^(y)(x+1)=1 , show that (d^(2)y)/(dx^(2)) = ((dy)/(dx))^(2) .