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 differential equation whose solution is ax^(2) + by^(2) + c = 0 (where a,b,c are constants ) is of -

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 ?

Which of the following differential equations has y = c_(1)e^(x) + c_(2)e^(-x) as the general solution?

Show that the general solution of the equation dy=ylogxdx is y=c((x)/(e))^(x) , where c is an arbitrary constant.

Find the value of 5C_3 + 4C_2

In which carbon of Deoxyribose oxygen is absent? a. C_1 b. C_2 c. C_3 d. C_4

The integral int(2x^12+5x^9)/((x^5+x^3+1)^3)dx is equal to: where C is an arbitrary constant.

In triangle A B C , if r_1=2r_2=3r_3, then a : b is equal to 5/4 (b) 4/5 (c) 7/4 (d) 4/7

C_0/2-C_1/3+C_2/4-C_3/5+.... is equal to