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

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

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 :

Verify that the function y=C_1e^(a x)cosb x+C_2e^(ax)sinb x ,\ C_1, C_2,\ are arbitrary constants is a solution of the differential equation (d^2y)/(dx^2)-2a(dy)/(dx)+(a^2+b^2)y=0

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 ?

Write the differential equation obtained by eliminating the arbitrary constant C in the equation x^2-y^2=C^2dot

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

Consider the equation (x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1, where a and b are specified constants and lambda is an arbitrary parameter. Find a differential equation satisfied by it.

Write the differential equation obtained eliminating the arbitrary constant C in the equation x y=C^2dot