Home
Class 12
MATHS
Verify that the given functions (explic...

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:`y=e^x+1:yprimeprime-yprime=0`

Text Solution

AI Generated Solution

To verify that the function \( y = e^x + 1 \) is a solution of the differential equation \( y'' - y' = 0 \), we will follow these steps: ### Step 1: Differentiate the function \( y \) Given: \[ y = e^x + 1 \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9.3|12 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9.4|23 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9.1|12 Videos
  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|44 Videos

Similar Questions

Explore conceptually related problems

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=cosx+C : yprime+sinx=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=cosx+C : yprime+sinx=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=x^2+2x+C : yprime-2x-2=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation : y=Ax : xy'=y(x ne 0)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:(2) y=x^2+2x+C : yprime-2x-2=0 (3) y=cos x+c : y'+sinx=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: (1)y = e^x +1: y"-y=0(2) y=x^2+2x+C : yprime-2x-2=0 (3) y=cos x+c : y'+sinx=0

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=sqrt(1+x^2) : yprime=(x y)/(1+x^2)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=sqrt(1+x^2) : yprime=(x y)/(1+x^2)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y=sqrt(1+x^2) : yprime=(x y)/(1+x^2)

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: x+y=tan^(-1)y : y^2y^(prime)+y^2+1=0