Home
Class 12
MATHS
The solution of differential equation ...

The solution of differential equation
` (dt)/(dx) = (t[d/dx{g(x)}]-t^(2))/(g(x) )` is

A

`t=(g(x))/(x)+c`

B

`t=(g(x))/(x^(2))+c`

C

`t=(g(x))/(x+c)`

D

`t=g(x)+x+c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos

Similar Questions

Explore conceptually related problems

Solution of differential equation (dt)/(dx)=(xlogx)/(t) is

The solution of differential equation t = 1 + (ty)(dy)/(dt) + (ty)^2/(2!) ((dy)/(dt))^(2)+ . . . . oo is

The general solution of the differential equation (dy)/(dx)+yg'(x)=g(x)g'(x) ,where g(x) is a given function of x ,is

Differential equation (dy)/(dx)=f(x)g(x) can be solved by separating variable (dy)/g(y)=f(x)dx. Solution of the differential equation (dy)/(dx)+(1+y^(2))/(sqrt(1-x^(2)))=0 is

If x = x(t) is the solution of the differential equation (t 1)dx = (2x (t 1)^4) dt, x(0) = 2 , then, x(1) equals ___________.

A necessary condition for the solution of the differential equation (dy)/(dx)=(ax+g)/(by+1) to represent a circle is

If f(x) and g(x) are two solutions of the differential equation (a(d^(2)y)/(dx^(2))+x^(2)(dy)/(dx)+y=e^(x),thenf(x)-g(x)^(@) is the solution of

Let x=x(t) and y=y(t) be solutions of the differential equations (dx)/(dt)+ax=0 and (dy)/(dt)+by=0] , respectively, a,b in R .Given that x(0)=2,y(0)=1 and 3y(1)=2x(1) ,the value of "t" ,for which, [x(t)=y(t) ,is :

Let y=g(x) be the solution of the differential equation (sin(dy))/(dx)+y cos x=4x,x in(0,pi) If y(pi/2)=0,theny(pi/6)^(*) is equal to

DISHA PUBLICATION-DIFFERENTIAL EQUATIONS -Exercise-1 : Concept Builder (Topicwise)
  1. The differential equation (dy)/(dx)=(3y)/(2x) represents a family of h...

    Text Solution

    |

  2. The sum of the squares of the perpendicular drawn from the points (0,1...

    Text Solution

    |

  3. The solution of differential equation (dt)/(dx) = (t[d/dx{g(x)}]-...

    Text Solution

    |

  4. The differential equation (dy)/(dx) = x+(1+y^(2))/(y(1+x^(2)) represe...

    Text Solution

    |

  5. Find the general solution of the differential equations (e^x+e^(-x))d...

    Text Solution

    |

  6. The solution of differential equation 4xdy - ydx = x^(2) dy is

    Text Solution

    |

  7. 8 The solution of differential equation (dy)/(dx)=y/x+(phi(y/x))/(phi'...

    Text Solution

    |

  8. The equation of the curve through the point ( 1,2) and whose slope is ...

    Text Solution

    |

  9. The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^...

    Text Solution

    |

  10. Find the equation of the curve passing through the point (0,pi/4) w...

    Text Solution

    |

  11. The solution of differential equation x^2=1 +(x/y)^(-1)(dy)/(dx)+((x...

    Text Solution

    |

  12. General solution of differential equation of f(x) (dy)/(dx) = f^(2) (...

    Text Solution

    |

  13. The female- male ratio of a village decreases continuously at the rate...

    Text Solution

    |

  14. 8 The solution of differential equation (dy)/(dx)=y/x+(phi(y/x))/(phi'...

    Text Solution

    |

  15. The solution of the primitive integral equation (x^2+y^2)dy=x ydx is y...

    Text Solution

    |

  16. If phi(x) is a differentiable function, then the solution of the diffe...

    Text Solution

    |

  17. The equation of the curve which is such that the portion of the axis o...

    Text Solution

    |

  18. A curve passing through (2,3) and satisfying the differential equat...

    Text Solution

    |

  19. Solve: (dy)/(dx) = (yf^(')(x)-y^(2))/(f(x))

    Text Solution

    |

  20. The equation of the curve passing through the point (3a, a )(a gt 0) i...

    Text Solution

    |