Home
Class 12
MATHS
Which of the following differential equa...

Which of the following differential equations has `y = c_(1)e^(x) + c_(2)e^(-x)` as the general solution?

A

`(d^(2)y)/(dx^(2)) + y = 0`

B

`(d^(2)y)/(dx^(2))-y = 0`

C

`(d^(2)y)/(dx^(2)) + 1 = 0`

D

`(d^(2)y)/(dx^(2))-1=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.4|23 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.5|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.2|11 Videos

  • DETERMINANTS

    NCERT TAMIL|Exercise Miscellaneous Exercises on Chapter 4|19 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.8|15 Videos

Similar Questions

Explore conceptually related problems

The differential equation formed if y = (A - Bx ) e^(-2x) is :

Find the general solution of the following differential equation. (dy)/(dx)+y=e^(-x)

Find the general solution of the following differential equation. (dy)/(dx)=6e^(x)y

Solution of the differential equation dy/dx=(y^3)/(e^(2x)+y^2) , is

Solve the differential equations. (dy)/(dx)=(e^(x)+1)y

Solve the differential equations : (dy)/(dx)=e^(x+y)+x^(3)e^(y)

Find the general solution of the following differential equation. (dy)/(dx)+y=e^(-3x)