Home
Class 12
MATHS
If y is a function of x then (d^2y)/(dx^...

If `y` is a function of `x` then `(d^2y)/(dx^2)+y \ dy/dx=0.` If `x` is a function of `y` then the equation becomes

A

`(d^(2)x)/(dy^(2))-x(dx)/(dy)=0`

B

`(d^(2)x)/(dy^(2))+y((dx)/(dy))^(2)=0`

C

`(d^(2)x)/(dy^(2))-y((dx)/(dy))^(2)=0`

D

`(d^(2)x)/(dy^(2))-x((dx)/(dy))^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If y is a function of x then (d^(2)y)/(dx^(2))+y backslash(dy)/(dx)=0 If x is a function of y then the equation becomes

x(d^(2)y)/(dx^(2))+(dy)/(dx)+x=0

Verify y =a/x+b is solution of x (d ^2 y)/(dx ^(2)) + 2 (dy)/(dx) = 0

If y=cot x show that (d^(2)y)/(dx^(2))+2y(dy)/(dx)=0

If y=cos(log x) , then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y is equal to

If y=a+(b)/(x) ; prove that x(d^(2)y)/(dx^(2))+2(dy)/(dx)=0

If y=a sin x+b cos x, then y^(2)+((dy)/(dx))^(2) is a (a)function of x( b) function of y (c) function of x and y(d) constant

The differential equation x((d^2y)/(dx^2))^3 + ("dy"/"dx")^4 y = x^2 is of

If y=e^(x)sinx, prove that (D^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0 .

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

    Text Solution

    |

  2. If y=f(x)andx=g(y) are inverse functions of each other, then

    Text Solution

    |

  3. If y is a function of x then (d^2y)/(dx^2)+y \ dy/dx=0. If x is a func...

    Text Solution

    |

  4. Leg g(x)=ln(f(x)), whre f(x) is a twice differentiable positive functi...

    Text Solution

    |

  5. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

    Text Solution

    |

  6. If f(theta) = sin(tan^(-1)(sintheta/sqrt(cos2theta))), where -pi/4 lt ...

    Text Solution

    |

  7. If y=log(sinx)(tanx), then (dy)/ (dx) at x=(1)/(4) is equal to

    Text Solution

    |

  8. If y=sum(r=1)^(x) tan^(-1)((1)/(1+r+r^(2))), then (dy)/(dx) is equal t...

    Text Solution

    |

  9. If y=(sin^(-1)(sinalphasinx)/(1-cosalphasinx)), then y'(0) is equal to

    Text Solution

    |

  10. If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals

    Text Solution

    |

  11. The function f(x)=e^x+x , being differentiable and one-to-one, has a d...

    Text Solution

    |

  12. If f^(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 an...

    Text Solution

    |

  13. If x=sectheta-costhetaandy=sec^(n)theta-cos^(n)theta, then (x^(2)+4 )(...

    Text Solution

    |

  14. If x=f(t)cost-f^(prime)(t)sint and y=f(t)sint+f^(prime)(t)cost , then ...

    Text Solution

    |

  15. If y=at^2+2bt-cand t = ax^2+2bx+c, then(d^3y)/(dx^3) equals

    Text Solution

    |

  16. Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-...

    Text Solution

    |

  17. if y=(A+Bx)e^(mx)+(m-1)^-1 e^x then (d^2y)/(dx^2)-2m(dy)/(dx)+m^2y is ...

    Text Solution

    |

  18. If f(x)=-(x^(3))/(3)+x^(2)sina.sin2a-5sin^(-1)(a^(2)-8a+17),then

    Text Solution

    |

  19. Let f and g be differentiable functions satisfying g(a) = b,g' (a) = ...

    Text Solution

    |

  20. The derivative of the function, f(x)=cos^(-1){(1)/(sqrt13)(2cosx-3sin...

    Text Solution

    |