Home
Class 12
MATHS
Find the differential equation for the f...

Find the differential equation for the following
`y = e^(3x) (A cos 2x+B sin 2x)`

Text Solution

Verified by Experts

The correct Answer is:
`y'' - 6y' +13y = 0 `
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the Correct Answer)|38 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

Form the differential equation from the following y = e^(x)(A cos 2x + B sin 2x)

Form the differential equation from the following y = e^(-2x)(Ax+B)

y = e^(x)(a cos x + b sin x)

Find the differential of each of the following functions y = (x)/(sin x + cos x)

Form the differential equation from y = Ae^(3x) +Be^(-2x) .

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

Find the differential equation of the family of curves y=A e^(2x)+B e^(-2x) , where A and B are arbitrary constants.

Differentiate the following : y= (e^(3x))/(1 + e^(x))