Home
Class 12
MATHS
Find the general solutions of the follow...

Find the general solutions of the following differential equations.
`(dy)/(dx) = (4x+9y +1)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
3(4x+9y+1) = 2 tan (6x+c)
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Excerise - 4.3 (Very Short Answer Questions)|2 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Excerise - 4.3 (Short Answer Questions)|10 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - 4.2 (Very Short Answer Questions)|3 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

Find the general solutions of the following differential equations. (i) (dy)/(dx) = e^(x+y) (ii) (dy)/(dx) = e^(y-x) (iii) (dy)/(dx) = (xy+y)/(yx+x) (iv) y(1+x)dx+x(1+y)dy = 0

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

Find the general solutions of the following differential equations. (i) (xy^(2) +x)dx+(yx^(2)+y)dy = 0 (ii) (dy)/(dx) = (y^(2)+2y)/(x-1) (iii) (e^(x) +1)ydx + (y+1)dx = 0

Solve the following differential equations. (dy)/(dx)=(2x-y+1)/(x+2y-3)

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

Find the general solution of the differential equation x (dy)/(dx) + 2y = x^(2)(x ne 0) .

Solve the following differential equations. (dy)/(dx)=(4x+6y+5)/(3y+2x+4)