Home
Class 12
MATHS
Solve the following differential equatio...

Solve the following differential equations.
`(dy)/(dx)+y tan x=cos^(3)x`

Text Solution

Verified by Experts

The correct Answer is:
(i) `2y = x cos x + sin x cos^(2) x + c cos x`
(ii) `y sec x = tan x + (1)/(3) tan^(3) x + c`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - 4.5 (Long Answer Questions)|5 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Additional Exercise|12 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - 4.5 (Very Short Answer Questions)|1 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

Solve the following differential equations. (dy)/(dx)=2y tan h x

Solve the following differential equations. (dy)/(dx)+y tan x=sin x

Solve the following differential equations. (dy)/(dx)+y sec x=tan x

Solve the following differential equations. (dy)/(dx)=e^(y-k)

Solve the following differential equations. (dy)/(dx)-y tan x =e^(x) sec x .

Solve the following differential equations (i) (dy)/(dx) - y tan x = e^(x) sec x (ii) (dy)/(dx) + y tan x = sin x

Solve the following differential equations. x (dy)/(dx) + 2y=log x

Solve the following differential equations. (dy)/(dx)=tan^(2)(x+y)

Solve the following differential equations. tan y dx +tan x dy=0

Solve the following differential equations. (dy)/(dx)-y=-2e^(-x)