if a, b are arbitrary constants, find the differential equation of `y=acosnx+bsinnx`

If a is arbitrary constant, find the differential equation of x^2+y^2=a^2

If a and b are arbitrary constants, then find the differential equation corresponding to y=acos(x+b) .

If A and B are arbitrary constants, then find the differential equation corresponding to the equation y=Ax+B .

If A and B are arbitrary constants, then find the differential equation corresponding to y=Acos(x+B) .

If a and b are arbitrary constants, then the differential equation having (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 as its general solution is

The general solution of a differential equation is y= ae ^(bx+ c) where are arbitrary constants. The order the differential equation is :

If y = A sin (theta + B) , where A and B are arbitrary constant then to form a differential equation how many times it should be differentiated ?

If a an arbitrary constant, then solution of the differential equation (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2)))=0 is

The family of curves y = e^(a sinx) where a is an arbitrary constant , is represented by the differential equation

The number of arbitrary constants in the general solution of a differential equation of order 5 are