Home
Class 12
MATHS
The order of the differential equation w...

The order of the differential equation whose general solution is given by `y=(C_1+C_2)cos(x+C_3)-C_4e^(x+4_5),` where `C_1,C_2,C_3,C_4,C_5` , are arbitrary constants, is (a) 5 (b) 4 (c) 3 (d) 2

A

5

B

4

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise LEVEL -2|39 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|11 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

Similar Questions

Explore conceptually related problems

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 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

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

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 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 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 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

Write the order of the differential equation associated with the primitive y=C_1+C_2e^x+C_3e^(-2x)+C_4,\ w h e r e\ C_1, C_2, C _3,\ C_4 are arbitrary constants.

Write the order of the differential equation associated with the primitive y=C_1+C_2e^x+C_3e^(-2x+C_4),\ w h e r e\ C_1, C_2, C-3,\ C_4 are arbitrary constants.

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

VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-JEE ADVANCE (ARCHIVE )
  1. The order of the differential equation whose general solution is gi...

    Text Solution

    |

  2. The differential equation (dy)/(dx) = (sqrt(1- y ^(2)))/(y) determinea...

    Text Solution

    |

  3. The differential equation representing the family of curves y^2=2c(...

    Text Solution

    |

  4. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

    Text Solution

    |

  5. Prove that for x in [0, (pi)/(2)], sin x + 2x ge (3x(x + 1))/(pi).

    Text Solution

    |

  6. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

    Text Solution

    |

  7. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  8. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  9. Let f(x) = (1 - x)^2 sin^2 x + x^2 for all x ∈ R, and let g(x) = ∫((2...

    Text Solution

    |

  10. Consider the statements : P : There exists some x IR such that f(x)...

    Text Solution

    |

  11. The function y=f(x) is the solution of the differential equation (d...

    Text Solution

    |

  12. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-cons...

    Text Solution

    |

  13. Let the f (x) be differentiabe function on the interval (0,oo) such ...

    Text Solution

    |

  14. Integrating factor of sec^2y dy/dx+x tany=x^3

    Text Solution

    |

  15. Let u(x) and v(x) be two continous functions satisfying the different...

    Text Solution

    |

  16. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

    Text Solution

    |

  17. A curve passes through the point (1,pi/6) . Let the slope of the curve...

    Text Solution

    |

  18. Tangent is drawn at any point P of a curve which passes through (1, 1...

    Text Solution

    |

  19. A spherical rain drop evaporates at a rate proportional to its surf...

    Text Solution

    |

  20. If length of tangent at any point on the curve y=f(x). Intercepted bet...

    Text Solution

    |

  21. A right circular cone with radius R and height H contains a liquid whi...

    Text Solution

    |