The differential equation whose general solution is given by `y=c_1cos(x+c_2)-c_3e^((-x+c4))+(c_5sinx),` where `c_1,c_2,c_3,c_4,c_5` are arbitrary constants, is

Find the differential equation whose general solution is given by y=(c_(1)+c_(2))cos(x+c_(3))-c_(4)e^(x+c_(5)) , where c_(1),c_(2), c_(3), c_(4), c_(5) are arbitary constants.

The order of the differential equation whose general solution is given by y=(C_1+C_2)cos(x+C_3)-C_4e^(x+C_5), where C_1,C_2,C_3,C_4,C_5 , are arbitrary constants, is (a) 5 (b) 4 (c) 3 (d) 2

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 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 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

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

Find the differential equation whose solution represents the family : c (y + c)^2 = x^3

The order of the differential equation of family of curver y=C_(1)sin^(-1)x+C_(2)cos^(-1)x+C^(3)tan^(-1)x+C^(4)cot^(-1)x (where C_(1),C_(2),C_(3) and C_(4) are arbitrary constants) is

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.