Home
Class 12
MATHS
Find the particular solution of the diff...

Find the particular solution of the differential equation ; `log (dy/dx) = 3x + 4y` , given that y = 0 when x = 0

Text Solution

Verified by Experts

The correct Answer is:
`y = ( sin^(5) x)/( 5) - (sin^(7) x)/(7) + ( ( 2x + 1)^(5//2) )/(10) - (( 2x + 1)^(3//2) )/( 6) + C`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (Multiple Choice Questions (Choose the correct option))|7 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|98 Videos

Similar Questions

Explore conceptually related problems

Find the particular solution of the differential equation (dy)/dx = -4xy^2 given that y = 1 when x = 0

Find a particular solution of the differential equation (x-y)(dx+dy) = dx - dy given that y = -1 when x = 0

Find the particular solution of the differential equation x^2dy - y dx = x dy given that x = 2, y = 1

Find the particular solution of the differential equation (x + 1)dy/dx=2e-y-1 given that y = 0 when x=0

Find the particular solution of the differential equation e^((dy)/(dx))=a , given that y=1 when x=0.

Find the particular solution of the differential equation dy/(dx)+ycotx=4xcosecx , (x#0) , given that y=0 when x=π/2 .

Find the particular solution of the differential equation (dy)/(dx)=1+x+y+xy given that y=0 when x=1.

Find the particular solution of the differential equation : x^2 dy - y dx = 2x dy given that x = 3, y = 1

Find the particular solution of the differential equation (dy)/(dx)=e^x when it is given that y=1 for x=0.

BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Solve : dy/dx + 2y = sin x

    Text Solution

    |

  2. Solve the differential equation : x^2 (y + 1) dx + y^2 (x - 1) dy = 0

    Text Solution

    |

  3. Solve the following differential equations (x^(2) y + x^(2) ) dx + (...

    Text Solution

    |

  4. Solve the following differential equations x cos (y/x) (dy)/( dx) = ...

    Text Solution

    |

  5. Solve the following differential equations y dx + x (log ""(y)/( x))...

    Text Solution

    |

  6. Find the particular solution of the differential equation ; log (dy/dx...

    Text Solution

    |

  7. Solve the following differential equation dy/dx = x^5 + x^2 - 2/x

    Text Solution

    |

  8. Find the general solution of the Differential Equation : 2xy dx + (x^2...

    Text Solution

    |

  9. Solve the differential equation (x^2 - y^2) dx + 2 xy dy = 0.

    Text Solution

    |

  10. Solve the following differential equations (y^(2) - 2xy) dx = (x^(2)...

    Text Solution

    |

  11. Solve the differential equation : xdy/dx-y=2x^3.

    Text Solution

    |

  12. Solve the following differential equations (dy)/( dx) - y = cos x, g...

    Text Solution

    |

  13. Solve the differential equation xdy - ydx = sqrt(x^2+y^2)dx

    Text Solution

    |

  14. Find the particular solution of the differential equation (dy/dx) - 3y...

    Text Solution

    |

  15. Solve cot^(-1) (dy/dx) = x+y

    Text Solution

    |

  16. Solve the differential equation (x^(2) + y^(2) ) dx = 2xydy

    Text Solution

    |

  17. Solve the differential equation : x sec^2(y/x)dy={y sec^2(y/x)+x}dx.

    Text Solution

    |

  18. Solve the differential equation : xdy/dx+3y=(logx)/x^3.

    Text Solution

    |

  19. Form the differential equation of the family of circles touching the y...

    Text Solution

    |

  20. Solve the differential equation : x (dy/dx) + 2y = x^2 log x

    Text Solution

    |