Home
Class 12
MATHS
If y = ae^(5x)+be^(-5x) , then the diff...

If ` y = ae^(5x)+be^(-5x)` , then the differential equation is ……..

A

`(d^(2) y)/(dx^(2) )= 25y`

B

`(d^(2) y)/(dx^(2) )= -25y`

C

`(d^(2) y)/(dx^(2) )= -5y`

D

`(d^(2) y)/(dx^(2) )= 5y`

Text Solution

Verified by Experts

The correct Answer is:
A
`(d^(2) y)/(dx^(2) )= 25y`
Promotional Banner

Topper's Solved these Questions

  • MARCH 2019

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION-B|10 Videos

  • MARCH 2019

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION-C|8 Videos

  • MARCH 2018

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION - II|20 Videos

  • OCTOBER 2014

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION - II|19 Videos

Similar Questions

Explore conceptually related problems

If y=ae^(5x)+be^(-5x), then find differential equation

The differential equation of y=ae^(bx) is

Show that y=ae^(2x)+be^(-x) is a solution of the differential equation (d^(2)y)/(dx^(2))-((dy)/(dx))-2y=0

Verify that y=ae^(3x)+be^(-x) is a solution of differential equation (d^2y)/(dx^2)-2(dy)/(dx)-3y=0

The differential equation for y=a sin (5x+c) is

If y = y(x) is the solution of the differential equation, x (dy)/(dx) + 5y = 10x^5, x > 0 satisfying y(1) = 2 then range of y(x) for x > 0 is:

Find the differential equation of xy=ae^(x)+be^(-x)

If y = Ae^(5x) + Be^(-5x) , then (d^2y)/(dx^2) is equal to : (a) 25y (b) 5y (c) -25y (d) 15y

If m and n are the order and degree of the differential equation (y'')^(5)+4 . ((y'')^(3))/(y''')+y'''=sin x, then

Differentiate cos 3xsin 5x