Find the differential equation from the equation : `y=e^x(a cos 2x +b sin2x )` where a and b are arbitrary constants.

Find the differential equation from the equation : y=e^x(a sin 2x + b cos 2x ) where a and b are arbitrary constants.

From the differential equation from the equation : y=e^x(a cos x +b sin x ) where a and b are arbitrary constants.

Find the differential equation from y = e^x (A cos 2x + B sin 2x) , where A and B are arbitrary constants.

Find the differential equation from y = e^x (A cos x + B sin x) , where A and B are arbitrary constants.

Form the differential equation representi.ng the family of curves y = a sin (x + b) , where a and b are arbitrary constants

Find the differential equation of the family of curves ( x- a)^2 + ( y - b)^2 = r^2 , where a and b are arbitrary constants.

Form the differential equation representing the family of curves x/a+y/b=1 where a and b are arbitrary constants.

Form the differential equation representing the family of curve y=asin(x+b) , where a and b are artibrary constants.

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