Home
Class 12
MATHS
Find the equation of a curve passing thr...

Find the equation of a curve passing through the point `(-2,3)`, given that slope of the tangent to the curve at any point `(x, y)" is "(2x)/(y^2)`.

Text Solution

Verified by Experts

The correct Answer is:
`(y^3)/(3)=x^(2)+5`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (SHORT ANSWER TYPE QUESTIONS)|11 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|21 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 11C)|15 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

  • INTEGRATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (6 MARK)|4 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the tangent to the curve y=sin 3t,x=2t at t=pi/4

Find the slope of the tangent to the curve y = x^(3) - "x at x" = 2 .

What is the slope of the tangent to the curve y=3x^2+2x-1 at x=2?

Find the slope of tangent to the curve Y= sqrtx+2x+6 at x=4

Write the equation of the tangent to the curve y=[x] at the point (-2,2).

Find the equation of a curve passing through the point(0,-2),given that at any point(x,y)of the curve,the product of the slope of its tangent and y-cordinate of the point is equal to the x co-ordinate of the point.

Write the equation of the tangent to file curve y=|x| at the point (-2, 2).

Write the equation of the tangent to the curve y=sqrt x at the point (-4, 4).

Find the slope of the tangent to the curve x = sin 3t, y = cos 2t, at t = pi/4 .

Find the equation of the tangent to the curve x = y^2-1 at the point where the slope of the normal to the curve is 2.

ARIHANT PUBLICATION-DIFFERENTIAL EQUATION-CHAPTER PRACTICE (VERY SHORT ANSWER TYPE QUESTIONS)
  1. Find the differential equation of the family of concentric circles hav...

    Text Solution

    |

  2. Find the differential equation of the family of curves y= Ae^(x)+Be^(-...

    Text Solution

    |

  3. Form the differential equation by aliminating A and B in Ax^(2)+By^(2)...

    Text Solution

    |

  4. Find the differential equation corresponding to curve y= a cos (x+b), ...

    Text Solution

    |

  5. Solve the following differential equations : (dy)/(dx)= sqrt(1-y^2),...

    Text Solution

    |

  6. Solve the following differential equations : (dy)/(dx)+y=1, y ne 1.

    Text Solution

    |

  7. Solve the following differential equations : (dy)/(dx)-(y(x+1))/(x)=...

    Text Solution

    |

  8. Solve the following differential equations : (dy)/(dx)=e^(x+y)+x^(2)...

    Text Solution

    |

  9. Write the solution of differential equation (e^(x)+e^(-x))dy= (e^(x)-e...

    Text Solution

    |

  10. If (dy)/(dx)=ye^(x)" and "x=0, y= e, then find the value of y, when x=...

    Text Solution

    |

  11. Solve 2(y+3)-xy(dy)/(dx)=0, given that y(1)= -2.

    Text Solution

    |

  12. Solve the differential equation (dy)/(dx)= y sin 2x, given that y(0)= ...

    Text Solution

    |

  13. Solve the initial value problem dy= e^(2x+y)dx, y(0)= 0.

    Text Solution

    |

  14. Find the equation of a curve passing through the point (-2,3), given t...

    Text Solution

    |

  15. Show that the given differential equation is homogeneous ans solve it ...

    Text Solution

    |

  16. Find the integrating factor of the differential equation x(dy)/(dx)-y=...

    Text Solution

    |

  17. Find the integrating factor of the differential equation (1-y^2)(dx)/(...

    Text Solution

    |

  18. Write the integrating factor of (dy)/(dx)-(1)/((1+x))y=(1+x)e^(x).

    Text Solution

    |

  19. Write the integrating factor of the differential equation sqrt(x) (dy)...

    Text Solution

    |

  20. Find the general solution of (dy)/(dx)+ay= e^(mx).

    Text Solution

    |