Home
Class 12
MATHS
" If "y=Ae^(kx)cos(px+c)," then show tha...

" If "y=Ae^(kx)cos(px+c)," then show that "(d^(2)y)/(dx^(2))-2k(dy)/(dx)+(p^(2)+k^(2))y=0

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=cot x show that (d^(2)y)/(dx^(2))+2y(dy)/(dx)=0

If y=Ae^(mx)+Be^(nx) then show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny=0

If y=Ae^(mx)+Be^(nx), show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny=0

If y=Ae^(mx)+Be^(nx), show that (d^(2)y)/(dx^(2))-((m+n)dy)/(dx)+mny=0

If y=e^(ax)cos bx, Show that (d^(2)y)/(dx^(2))-2a(dy)/(dx)+(a^(2)+b^(2))y=0

If y=cotx show that (d^2y)/(dx^2)+2y(dy)/(dx)=0 .

If y=Ae^(-kt)cos(pt+c), then prove that (d^(2)y)/(dt^(2))+2k(dy)/(dx)+n^(2)y=0, where n^(2)=p^(2)+k^(2)

y=Ae^(mx)+Be^(nx) show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny=0

If y = e^(-ax) cos (bx + c) , show that (d^2y)/(dx^2) + 2a(dy)/(dx) + (a^2 + b^2) y = 0

If y=ae^(2x)+be^(-x), show that (d^(2)y)/(dx^(2))-(dy)/(dx)-2y=0