Home
Class 12
MATHS
Find the equation of the curve passing t...

Find the equation of the curve passing through the point `(0 , pi/4)` whose differential equation is `sin x cos y d x+cos x sin y d y=0`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    V PUBLICATION|Exercise QUESTION BANK|136 Videos

  • INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|396 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the curve passing through the point (1,1) whose differential equation is x d y=(2 x^2+1) d x(x ne 0)

Find the equation of a curve passing through (0,0) and whose differential equation is y' = e^x sin x .

Solve the differential equation 3 e^x tan y d x-(1+e^x) (sec ^(2) y) d y=0

Find the equation of the normal to the curve x^2 =9y which passes through the point (6,4).

solve the differential equation (x^2-y^2) d x+2 x y d y=0

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

Find the equation of a curve passing through the point (0,1). If the slope of the tangent to the curve at any point (x,y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate of that point.

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

Evaluate int_0^(pi/2) sin x cos x d x

solve the differential equation (x^2+x y) d y=(x^2+y^2) d x

V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Find the general solution of the differential equation. (dy)/(dx)+sqrt...

    Text Solution

    |

  2. Show that the general solution of the differential equation (dy)/(dx)+...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the particular solution of the differential equation (1+e^(2 x)) ...

    Text Solution

    |

  5. Solve the differential equation y e^(x/y) d x=(x e^(x/y)+y^2) d y(y ne...

    Text Solution

    |

  6. Find a particular solution of the differential equation (x-y)(d x+d y)...

    Text Solution

    |

  7. Solve the differential equation [(e^(-2 sqrtx)/sqrtx)-(y/(sqrtx))] ((...

    Text Solution

    |

  8. Find the particular solution of the differential equation (dy)/(dx) + ...

    Text Solution

    |

  9. Find the general solution of the differential equation (x+1)(dy)/(dx) ...

    Text Solution

    |

  10. The population of a village increases continuously at the rate. propor...

    Text Solution

    |

  11. The general solution of the differential equation (y dx - x dy)/y=0.

    Text Solution

    |

  12. Choose the correct answer. The general solution of a differential equa...

    Text Solution

    |

  13. Choose the correct answer. The general solution of a differential equa...

    Text Solution

    |

  14. Form the differential equation corresponding to y=a x^2+b x+c

    Text Solution

    |

  15. Verify that y=a e^(-x), (a is a parameter ) is the general solution of...

    Text Solution

    |

  16. Solve the differential equation 3 e^x tan y d x-(1+e^x) (sec ^(2) y) d...

    Text Solution

    |

  17. Find the curve in the xy plane that passes through (0,3) and whose tan...

    Text Solution

    |

  18. Solve (dy)/(dx)=(x y)/(x^2+y^2), x^2+y^2 ne 0

    Text Solution

    |

  19. Solve y^'= (y(x-2 y))/(x(x-3 y)), x ne 0, x ne 3 y^

    Text Solution

    |

  20. Solve the initial value problem (x e^(y/x)+y)) d x=x d y, y(1)=0.

    Text Solution

    |