Home
Class 12
MATHS
The differential equation whose general...

The differential equation whose general solution is,`y=c_(1)sin x+c_(2)cos x` where `c_(1) and c_(2)` are parameters,is

Answer

Step by step text solution for The differential equation whose general solution is,y=c_(1)sin x+c_(2)cos x where c_(1) and c_(2) are parameters,is by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The differential equation whose general solution is y =log x+c is

Differential equation whose general solution is y=c_(1)x+(c_(2))/(x) for all values of c_(1) and c_(2) is

Knowledge Check

  • The differential equation whose solution is y=c_1 cos ax + c_2 sin ax is

    A
    `(d^2y)/(dx^2)+y^2=0`
    B
    `(d^2y)/(dx^2)+a^2y=0`
    C
    `(d^2y)/(dx^2)+ay^2=0`
    D
    `(d^2y)/(dx^2)-a^2y=0`

  • 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

    A
    2
    B
    4
    C
    3
    D
    None of these

  • 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.

    A
    Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.
    B
    Statement-1 is true, Statement-2 is true, Statement-2 is NOT a correct explanation for Statement-1.
    C
    Statement-1 is True, Statement-2 is False
    D
    Statement-1 is False, Statement-2 is True

    • Similar Questions

    Explore conceptually related problems

    The order of the differential equation whose general solution is y=c_(1)sin^(3)x+c_(2)e^(2x)+c_(3)sin3x+c_(4)sin x+c_(5)e^(2x+c_(6) is (A) 2 , (B) 4 , (C) 3 , (D) "None of these"

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

    The order of the differential equation whose general solution is y=c_(1)cos2x+c_(2)cos^(2)x+c_(3)sin^(2)x+c_(4) is 2(b)4(c)3(d) None of these

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

    Home
    Profile