Home
Class 12
MATHS
Solve (dy)/(dx)=y tan x, " given that " ...

Solve `(dy)/(dx)=y tan x, " given that " y=1 " when " x=0.`

Text Solution

Verified by Experts

The correct Answer is:
`y cos x =1`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE

    RS AGGARWAL|Exercise Exercise 19A|16 Videos

  • DIFFERENTIAL EQUATIONS AND THEIR FORMATION

    RS AGGARWAL|Exercise Exercise 18C|16 Videos

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10I|51 Videos

Similar Questions

Explore conceptually related problems

Solve (dy)/(dx) =y^(2)tan 2x, " given that " y =2 " when " x =0 .

Solve (dy)/(dx) =y cot 2x, " given that " y =2 " when " x =(pi)/(4) .

Find the particular solution of the differential equation satisfying the given conditions: (dy)/(dx)=y tan x, given that y=1 when x=0

Solve (dy)/(dx)=x(2 log x +1), " given that " y =0 " when " x =2.

Find the particular solution of the following : (dy)/(dx)= y tan x , given that y=1 when x=0 .

Solve (x^(3)+x^(2)+x+1)(dy)/(dx) =2x^(2)+x, " given that " y=1 " when " x =0.

Solve log(dy)/(dx)=4x-2y-2, given that y=1 when x=1

Solve: (dy)/(dx)+y sec x=tan x

x(dy)/(dx)-y=log x, given that y=0 when x=1

Solve (dy)/(dx)+y tan x=y^(2)sec x

RS AGGARWAL-DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE-Exercise 19B
  1. Find the particular solution of the differential equation log(dy)/(...

    Text Solution

    |

  2. Solve the differential equation (x^(2)-yx^(2))dy +(y^(2)+x^(2)y^(2))dx...

    Text Solution

    |

  3. Find the particular solution of the differential equation e^xsqrt(1-y^...

    Text Solution

    |

  4. Find the particular solution of the differential equation (dy)/(dx)=(...

    Text Solution

    |

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

    Text Solution

    |

  6. Solve the differential equation (x+1)(dy)/(dx) =2xy, " given that " y(...

    Text Solution

    |

  7. Solve (dy)/(dx)=x(2 log x +1), " given that " y =0 " when " x =2.

    Text Solution

    |

  8. Solve (x^(3)+x^(2)+x+1)(dy)/(dx) =2x^(2)+x, " given that " y=1 " when ...

    Text Solution

    |

  9. Solve (dy)/(dx)=y tan x, " given that " y=1 " when " x=0.

    Text Solution

    |

  10. Solve (dy)/(dx) =y^(2)tan 2x, " given that " y =2 " when " x =0.

    Text Solution

    |

  11. Solve (dy)/(dx) =y cot 2x, " given that " y =2 " when " x =(pi)/(4).

    Text Solution

    |

  12. Solve (1+x^(2))sec^(2)y dy +2 x tany dx =0, " given that " y = (pi)/(4...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the equation of a curve which passes through the origin and whos...

    Text Solution

    |

  15. Find the equation of the curve passing through the point (0, -2) gi...

    Text Solution

    |

  16. A curve passes through the point (-2, 1) and at any point (x, y) of ...

    Text Solution

    |

  17. In a bank principal increases at the rate of r% per year. Find the ...

    Text Solution

    |

  18. In a bank, principal increases continuously at the rate of 5% per yea...

    Text Solution

    |

  19. The volume of spherical balloon being inflated changes at a constan...

    Text Solution

    |

  20. In a culture the bacteria count is 100000. The number is increased ...

    Text Solution

    |