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`.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Exercise 9d|37 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Exercise 9e|15 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Exercise 9b|16 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN|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

Verify that y=A cos x-B sin x is a solution of the differential equation (d^(2)y)/(dx^(2))+y=0

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

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

Show that the function y=A cos x+bs in x is as solution of the differentia equation (d^(2)y)/(dx^(2))+y=0

Show that y=Ae^(Bx) is as solution of the differential equation (d^(2)y)/(dx^(2))=(1)/(y)((dy)/(dx))^(2)

Show that y=sin (sin x) is a solution of differential equation (d^2y)/(dx^2)+(tan x)(dy)/(dx) +y cos^2 x=0

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

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