" olo If "y=Pe^(ax)+Qe^(bx)," show that "(d^(2)y)/(dx^(2))-(a+b)(dy+aby=c)/(dx)

If y=Pe^(ax)+Qe^(bx) , show that : (d^(2)y)/(dx^(2))-(a+b)dy/dx+aby=0 .

If y="Pe"^(ax)+"Qe"^(bx) , then show that (d^(2)y)/(dx^(2))-(a+b)(dy)/(dx)+aby=0

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

Find the second order derivative of the following functions If y = Pe^(ax) + Qe^(bx) show that (d^2 y)/(dx^2) - (a + b) (dy)/(dx) + aby = 0

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

If y=a e^(2x)+b e^(-x) , show that, (d^2y)/(dx^2)-(dy)/(dx)-2y=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=e^(ax)sinbx," then "(d^(2)y)/(dx^(2))-2a(dy)/(dx)=

"If "y^(2)=ax^(2)+bx+c," then "y^(3)(d^(2)y)/(dx^(2)) is