[y=e^(mx)],[(d^(2)y)/(dx^(2))+(5dy)/(dx)+4y=x^(2)+7x+9],[-10]

If y= x^(2) e^(x) ,then ( d^(2)y)/(dx^(2)) -(dy)/(dx) =

If (a+bx)e^((y)/(x))=x , show that, x^(3)(d^(2)y)/(dx^(2))=(x(dy)/(dx)-y)^(2) .

(a+bx)e^((y)/(x))=x, Prove that x^(3)(d^(2)y)/(dx^(2))=(x(dy)/(dx)-y)^(2)

If y=e^(2x) , then (d^(2)y)/(dx^(2)).(d^(2)x)/(dy^(2)) is equal to

If e^(y)(x+1)=1, show that (d^(2)y)/(dx^(2))=((dy)/(dx))^(2) If y=sin(2sin^(-1)x), show that ((1-x^(2))d^(2y))/(dx^(2))=x(dy)/(dx)-4y

If y= 3e^(2x)+ 2e^(3x) ,then (d^(2)y)/(dx^(2))-5(dy)/(dx) =

if y=(A+Bx)e^(mx)+(m-1)^(-1)e^(x) then (d^(2)y)/(dx^(2))-2m(dy)/(dx)+m^(2)y is equal to:

y = Ae^(x) + Be^(-2x) is a solution of the D.E. (d^(2)y)/(dx^(2) )+ (dy)/(dx) -2y = 0

If y=x^(2)e^(x),"show that "(d^(2)y)/(dx^(2))-(dy)/(dx)-2(x+1)e^(x)=0