Write the order of the differential equation whose solution is `y=acosx+b sin\ x+c e^(-x)dot`

What is the order of the differential equation whose general solution is y=c_(1)cos2x+c_(2)sin^(2)x+c_(3)cos^(2)x+c_(4)e^(2x)+c_(5)e^(2x+c_(6))

Statement 1 : The order of the differential equation whose general solution is y==c_1cos2x+c_2sin^2x+c_3cos^2x+c_4e^(2x)+c_5e^(2x+c_6) is 3. Statement 2 : Total number of arbitrary parameters in the given general solution in the statement (1) is 3. Which of the following statements is/are correct ?

Statement 1 : The order of the differential equation whose general solution is y==c_1cos2x+c_2sin^2x+c_3cos^2x+c_4e^(2x)+c_5e^(2x+c_6) is 3. Statement 2 : Total number of arbitrary parameters in the given general solution in the statement (1) is 3.

The order of the differential equation whose general solution is y = c_(1) cos 2x + c_(2) cos^(2) x + c_(3) sin^(2) x + c_(4) is

The order of the differential equation whose general solution is y = (C_(1) + C_(2)) cos (x + C_(3)) - C_(4)e^(x^(4)) where C_(1), C_(2), C_(3) and C_(4) are arbitrary is

The order & the degree of the differential equation whose general solution is, y =c(x-c)^2 , are respectively

The order of the differential equation whose general solution is given by y=c_1cos(2x+c_2)-(c_3+c_4)a^(x+c_5)+c_6sin(x-c_7)\ i s a. 3 b. 4 c. 5 d. 2

The solution of the differential equation sin(x+y)dy =dx is

Order of the differential equation whose general solution is y = (ax)/(bx + c) , where a, b, c are arbitrary constants is

Write the order of the differential equation representing the family of curves y=a x+a^3dot