If `y = ae^(x) + be^(-x) + c`, where a, b, c are parameters, then y'' is equal to

If y=ae^(x)+be^(-x)+c," then "y'''=

If y=a cos ( log x )+ bsin (log x) where a , b are parameters , then x^(2) y''+ xy' =

Let y=(a sin x+(b+c)cosx)e^(x+d) where a, b, c, d are parameters. The order of the differential equation formed after elimintion of parameter is ________

If (b + c) (y + z) - ax = b - c, (c + a) (z + x) - by = c - a and (a + b) (x + y) - cz = a - b , where a + b + c ne 0, then x is equal to a) (c + b)/(a + b + c) b) (c - b)/(a + b + c) c) (a - b)/(a + b + c) d) (a + b)/(a + b + c)

If y=a cos ( log x )+ bsin (log x) where a ,b are parameters ,then x^(2) y''+ xy '=

y=Ae^(2x)+Be^(-2x) , where A and B are arbitrary constants.

The differential equation of the family y = ae^(x) + bx e^(x) + cx^(2)e^(x) of curves where, a,b,c are arbitrary constants is

Find the differential equation conistent with y=ae^(3x)+be^(5x)+ce^(7x) , where a,b,c are arbitrary constants.