Home
Class 12
MATHS
Let y=(A+Bx)e^(3x) is a Solution of the ...

Let `y=(A+Bx)e^(3x)` is a Solution of the differential equation `(d^(2)y)/(dx^(2))+m(dy)/(dx)+ny=0,m,n in I,` then

A

m=-6

B

n=-6

C

m=9

D

n=9

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|18 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

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

y = log x + c is a solution of the differential equation x(d^(2)y)/(dx^(2)) + (dy)/(dx) = 0

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

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

The general solution of the differential equation (d^(2)y)/(dx^(2))+8(dy)/(dx)+16y=0 is

The solution of the differential equation (x+2y^(2))(dy)/(dx)=y , is

Verify tht y=e^(x) cos bx is a solution of the differential equation (d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0.

Solution of the differential equation y dx+(x-y^(2))dy=0 is

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

Solution of the differential equation x((dy)/(dx))^(2)+2sqrt(xy)(dy)/(dx)+y=0 ,is