Home
Class 12
MATHS
Solve the following initial value proble...

Solve the following initial value problems and find the corresponding solution curves :
`(i)2xy'=5y, y(1)=1`
(ii) `sin x cos y dx + cos x sin y dy = 0, y(0)= pi/4`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar (Example)|3 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (a) Short Answer Type Questions|36 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

Solve the following initial value problems and find the corresponding solution curves : y'=2xy, y(0)=1 .

Solve the following initial value problems and find the corresponding solution curves : y'+2y^(2)=0, y(1)=1

Solve the following initial value problems and find the corresponding solution curves : x dy + y dx= xy dx, y(1)=1

Solve the following initial value problems and find the corresponding solution curves : x (x dy - y dx)= y dx, y(1)=1 .

Solve the following initial value problems and find the corresponding solution curves : (x+1)y'=2 e^(-y)-1, y(0)=0 .

Solve the initial vale problem (dy)/(dx)+2y^(2)=0,y(1)=1 and find the corresponding solution curve.

Solve the following initial value problem: (dy)/(dx)=y sin2x,y(0)=1

Solve the following initial value problem: (dy)/(dx)=y sin2x,y(0)=1

Solve the following initial value problem: (dy)/(dx)=y tan x,y(0)=1

Solve the following initial value problem: 2x(dy)/(dx)=5y,y(1)=1

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Frequently Asked Questions
  1. Find the particular solution of the differential equation (dy)/(dx) = ...

    Text Solution

    |

  2. sqrt(1+x^2+y^2+x^2y^2)+x y \ (dy)/(dx)=0

    Text Solution

    |

  3. Solve the following initial value problems and find the corresponding ...

    Text Solution

    |

  4. find the particular solution satisfying the given condition, for the f...

    Text Solution

    |

  5. Solve each of the following differential equations cos y "" dx +(1+2...

    Text Solution

    |

  6. Find the particular solution of the differential equation e^x tan y dx...

    Text Solution

    |

  7. Find the particular solution of the differential equation (1-y^2)(1+lo...

    Text Solution

    |

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

    Text Solution

    |

  9. Show that the differential equation (dy)/(dx)=(y-x)/(y+x) is homogenou...

    Text Solution

    |

  10. (x^2+x y)dy=(x^2+y^2)dx

    Text Solution

    |

  11. Show that the differential equation (x^(2)+xy)dy=(x^(2)+y^(2))dx is ho...

    Text Solution

    |

  12. Solve : (dy)/(dx)=(y^(3)+2x^(2)y)/(x^(3)+2xy^(2)).

    Text Solution

    |

  13. An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx ...

    Text Solution

    |

  14. Solve : (x cos. y/x) ( y dx + x dy) = ( y sin. y/x) (x dy- y dx).

    Text Solution

    |

  15. The differential equations , find the particular solution satisfyin...

    Text Solution

    |

  16. Solve the following differential equation: x ylog(x/y)dx+{y^2-x^2log(x...

    Text Solution

    |

  17. Solve the following differential equation: x(dy)/(dx)-y+xsin(y/x)=0

    Text Solution

    |

  18. Prove that x^2-y^2=c(x^2+y^2)^2is the general solution of differenti...

    Text Solution

    |

  19. Solve 2y e^(x//y)dx+(y-2x e^(x//y))dy=0

    Text Solution

    |

  20. (x log x ) (dy)/(dx) + y = 2 log x

    Text Solution

    |