Find the differential equation for the family of curve `y=a sin^(-1)x+b cos^(-1)x`

Find the order of the differential equation of the family of curves. y=asinx+bcos(x+c) , where a,b,c are parameters.

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

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

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

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

Statement 1: Order of the differential equation of the family of curves y=asinx+bcos(x+c) is 3.Statement 2: Order of the differential equation of a family of curves is equal to the number of independent arbitrary constants in the equation of family of curves. . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Find the differential equation of the family of curves given by x^2+y^2=2ax

The differential equation representing the family of curve y=mx is

Form the differential equation representing the family of curves y = a sin x + b cos x , where a, b are the arbitrary constants.

The differential equation of family of curves of y^(2)=4a(x+a) is