Home
Class 12
MATHS
Find the equation of the curve passing t...

Find the equation of the curve passing through the point `(0, (pi)/(4))`, whose differential equation is `sin x cos y dx + cos x sin y dy=0`.

Text Solution

Verified by Experts

The correct Answer is:
`cos y=(sec x)/(sqrt(2))`.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise QUESTIONS FOR PRACTICE OF PART -II (LONG ANSWER TYPE)|16 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise QUESTIONS FOR PRACTICE OF PART -III (VERY SHORT ANSWER TYPE)|14 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise QUESTIONS FOR PRACTICE OF PART -II (VERY SHORT ANSWER TYPE)|17 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

  • INTEGRATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (6 MARK)|4 Videos

Similar Questions

Explore conceptually related problems

Find the differential equation whose solution is y = a cos 2x + b sin 2x .

Find the equation of tangent to the curve x=sin 3t,y=cos 2t at t =pi/4

Solve the following differential equations. sin x dy/dx +3y=cos x

Evaluate int_0^pi sin^3 x cos x dx

Find the differential equation whose general solution is y = a cos x + b sin x .

What is the differential equation whose solution is y = c (sin x + cos x) ?