Home
Class 12
MATHS
Show that y=Acosx+Bsinx is a solution of...

Show that `y=Acosx+Bsinx` is a solution of differential equation `(d^(2)y)/(dx^(2))+y=0`.

Answer

Step by step text solution for Show that y=Acosx+Bsinx is a solution of differential equation (d^(2)y)/(dx^(2))+y=0. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9d|37 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9e|16 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9b|17 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|44 Videos

Similar Questions

Explore conceptually related problems

Show that y=A cos mx+Bsin mx is a solution of differential equation (d^(2)y)/(dx^(2)+m^(2)y=0

Show that y=x sin x is a solution of the differential equation (d^(2)y)/(Dx^(2))+y-2cosx=0 .

Show that the function y=A cos x+b sinx is as solution of the differential equation (d^2y)/(dx^2)+y=0.

Show that y=e^x(A\ cos x+Bsinx) is the solution of the differential equation (d^2y)/(dx^2)-2(dy)/(dx)+2y=0.

Show that y=e^x(A\ cos x+Bsinx) is the solution of the differential equation (d^2y)/(dx^2)-2(dy)/(dx)+2y=0.

Verify that y=4sin3x is a solution of the differential equation (d^2y)/(dx^2)+9y=0.

Verify that y=4sin3x is a solution of the differential equation (d^2y)/(dx^2)+9y=0.

Verify that "y"="Acos x"-"Bsinx" is solution of the differential equation (d^2y)/("dx"^2)+"y"=0

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

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

Home
Profile