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

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))

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 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

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.

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

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

STATEMENT-1 : The differential equation whose general solution is y = c_(1).x + (c_(2))/(x) for all values of c_(1) , and c_(2) is linear equation. and STATEMENT-2 : The equation y = c_(1), x + (c_(2))/(x) has two arbitrary constants, so the corresponding differential equation is second order.

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