Home
Class 12
MATHS
Show that y=a cos bx is a solution of th...

Show that `y=a cos bx` is a solution of the differential equation `(d^(2)y)/(dx^(2))+b^(2)y=0`.

Text Solution

Verified by Experts

The correct Answer is:
0
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

Show that y=Acos2x+Bsin2x is a solution of the differential equation (d^(2)y)/(dx^(2))+4y=0

Show that y=Acosnx+Bsinnx is the solution of the differential equation (d^(2)y)/(dx^(2))+n^(2)y=0

Show that y^(2) = 4ax is a solution of the differential equation (dy)/(dx) = (2a)/y

Show that y=e^(-x)+mx+n is a solution of the differential equation e^(x)(d^(2)y)/(dx^(2))-1=0.

Verify that the function y =4 sin 3x is a solution of the differential equation (d^(2)y)/(dx^(2))+9y=0

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

Verify that the function y=bcosx+asinx, where a and binR is a solution of the differential equation (d^(2)y)/(dx^(2))+y=0

The solution of the differential equation (x+2y^3)(dy)/(dx)=y is

Verify that function y=ax^(2)+bx+c is a solution of the differential equation (d^(2)y)/(dx^(2))=2a

Find the solution of the differential equation: (d^2y)/dx^2 + 4(dy)/(dx)+3y=0