Home
Class 12
MATHS
e^(-x) (dy)/(dx) = y(1+ tanx + tan^(2) x...

` e^(-x) (dy)/(dx) = y(1+ tanx + tan^(2) x)`

A

`logy=e^(x)tanx+c`

B

`e^(x)logy=tanx+c`

C

`logy=e^(x)sec^(2)x+c`

D

`logy+e^(x)tanx=c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT - CET EXAM QUESTIONS)|13 Videos
  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos
  • CONTINUITY F FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|131 Videos
  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

Similar Questions

Explore conceptually related problems

(dy)/(dx)=1+x tan(y-x)

Solve (1 + x ^(2)) (dy )/(dx) + y = e ^( tan ^(-1) x ) .

The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(tan^(-1)x)

Solve the differential equation (dy)/(dx) + y tan x = 2x + x ^(2)tanx

Find the general solution of the differential equation : (tan^(2)x+2tan x + 5)(dy)/(dx)=2(1+tanx)sec^(2)x .

(x (dy) / (dx) -y) tan ^ (- 1) ((y) / (x)) = x

Find (dy)/(dx) when : y=(x+tanx)/(tanx)

Find (dy)/(dx) , when: y=(tanx)^(1//x)

Find (dy)/(dx) , when If y = sqrt((sec x - tanx)/(sec x + tanx)) , show that (dy)/(dx) = sec x (tanx - sec x) .

Solve ((dy)/(dx))-y tan x=e^(x)