Home
Class 12
MATHS
(x^(2)+1)(dy)/(dx)+2xy=sqrt(x^(2)+4)...

`(x^(2)+1)(dy)/(dx)+2xy=sqrt(x^(2)+4)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.8|12 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.9|25 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.6|8 Videos
  • MODEL QUESTION PAPER -1

    PREMIERS PUBLISHERS|Exercise Part -IV|20 Videos
  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

(1-x^(2))(dy)/(dx)-xy=1

Solve (1-x^(2))(dy)/(dx)+2xy=xsqrt(1-x^(2))

For each of the differential equations given in find a particular solution satisfying the given condition : (1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2)), y=0 when x=1

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

(x+a)(dy)/(dx)-2y=(x+a)^(4)

(y-e^(sin^(-1)x))(dy)/(dx)+sqrt(1-x^(2))=0.

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

The solutio of the differential equation (x^(2)-yx^(2))(dy)/(dx)+y^(2)+xy^(2) = 0 is