Home
Class 12
MATHS
Find value of m so that the function y=e...

Find value of m so that the function `y=e^(mx)` is a solution of the given differential equation.
`y''-5y'+6y=0`

Text Solution

Verified by Experts

The correct Answer is:
`m = 2 or 3 `
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.5|13 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.6|8 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.3|8 Videos

  • MODEL QUESTION PAPER -1

    PREMIERS PUBLISHERS|Exercise Part -IV|20 Videos

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

Find value of m so that the function y=e^(mx) is a solution of the given differential equation. y'+2y=0

A solution of the differential equation y'=y is

Verify that the function y=cosx-sinx is a solution of the differential equation y''+y=0.

Show that y=(a+bx)e^(2x) is a solution of the differential equation y''-4y'+4y=0.

Verify that the function y''+4y=0 is a solution of the differential equation y=3sin 2x.

Verify that the function y'''=0 is a solution of the differential equation y=x^(2)+2x+1.

Verify that the function y=e^(-3x) is a solution of the differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

Verify that the function y=e^(-3x) is solution of the differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

Cheak whether y=e^(-x)+2 is a solution of the differential equation y_(1)+y=2.