The differential equation of the family of curves `y=e^x(Acosx+Bsinx),` where `A` and `B` are arbitrary constants is

The differential equation of the family of curves y=e^(2x)(a cos x+b sin x) where, a and b are arbitrary constants, is given by

Find the differential equation of the family of curves y=e^x(Acosx +Bsinx) where A,B are arbitrary constants. Also write its order and degree.

Find the differential equation of the family of curves y=Ae^(2x)+Be^(-2x), where A and B are arbitrary constants.

Find the differential equation of the family of curves,x=A cos nt+B sin nt, where A and B are arbitrary constants.

Find the differential equartion of the family of curves y=Ae^(x)+Be^(-x), where A and B are arbitrary constants.

The differential equation of the family of curves y = p cos (ax) + q sin (ax) , where p , q are arbitrary constants , is :

The order of the differential equation of the family of curves y=(a)/(c ) sin (bx)+3^(dx) where a, b, c, d are arbitrary constants is

Form the differential equation of the family of curves y=A cos2x+B sin2x, where A and B are constants.

The differential equation of the family of cruves y = p cos (ax) + q sin (ax) , where p,q are arbitrary constants, is