Home
Class 12
MATHS
(dy)/(dx)=(sin^(2)x)/(1+x^(3))-(3x^(2))/...

`(dy)/(dx)=(sin^(2)x)/(1+x^(3))-(3x^(2))/(1+x^(3))y`

Text Solution

Verified by Experts

The correct Answer is:
`y(1+x^(3))=(x)/(2)-(sin2x)/(4)+c`
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise EXERCISE 10.7|1 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise EXERCISE 10.8|12 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise EXERCISE 10.6|8 Videos
  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - IV|26 Videos
  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS - 5 MARKS|4 Videos

Similar Questions

Explore conceptually related problems

(dy)/(dx) = e^(2x-y) + x^(3) e^(-y)

Find the order and degree of the following differential equations. i) (dy)/(dx)+y=1/((dy)/(dx)) , ii) e^((d^(3)y)/(dx^(3)))-x(d^(2)y)/(dx^(2))+y=0 , iii) sin^(-1)((dy)/(dx))=x+y , iv) log_(e)((dy)/(dx))=ax+by v) y(d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-4y(dy)/(dx)=0

(dy)/(dx) + 3y = e^(-2x)

Solve (dy)/(dx)=(2x-y+1)/(x+2y-3)

The degree of the differential equation y(x)=1+(dy)/(dx)+(1)/(1.2)((dy)/(dx))^(2)+(1)/(1.2.3)((dy)/(dx))^(3)+… is

The function y=f(x) is the solution of the differential equation (dy)/(dx)+(x y)/(x^2-1)=(x^4+2x)/(sqrt(1-x^2)) in (-1,1) satisfying f(0)=0. Then int_((sqrt(3))/2)^((sqrt(3))/2)f(x)dx is

(a) Find (dy)/(dx) where y=(x^(2)+1)root(3)(x^(2)+2) (b) Evaluate int (x+1)sqrt(2x+3) .

Find (dy)/(dx)," if "y= sin^(-1)x +sin^(-1)sqrt(1-x^(2)), 0 lt x lt 1 .