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 .

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 ?

For all values of A and B , find the differential equation of y=Acospx+Bsinpx .

If a and b are arbitrary constants, then the order and degree of the differential equation of the family of curves ax^(2)+by^(2)=2 respectively are

For all values of A and B , find the differential equation of y=Asinx+Bcosx .

The number of arbitrary constants in the particular solution of a differential equation of third order are: (A) 3 (B) 2 (C) 1 (D) 0

The number of arbitrary constants in the particular solution of a differential equation of third order are: (A) 3 (B) 2 (C) 1 (D) 0