Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation
`(x+y)^(2)(dy)/(dx) = a^(2) ` is

A

`x + y = a tan((y+ c)/(a))`

B

`y = a tan^(-1) ( x+ y) + c `

C

` y(1- (x)/(4)) = tan""y/a + c `

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-1 : Concept Builder (Topicwise)|60 Videos

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation (x+2y^(2))(dy)/(dx)=y , is

The solution of the differential equation ((x+2y^(3))dy)/(dx)=y is

solution of the differential equation (dx)/(x)=(dy)/(y)

The solution of the differential equation y - x ( dy)/(dx) = a ( y^(2) + dy/dx) is

The solution of the differential equation 2x^(2)y(dy)/(dx) = tan(x^(2)y^(2))-2xy^(2) , given y(1) = sqrt(pi/2) , is

Solution of the differential equation cos^(2)(x-y)(dy)/(dx)=1

The solution of the differential equation x+y(dy)/(dx)=2y is

The solution of the differential equation x(dy)/(dx)+y = y^2 is

The solution of the differential equation (dy)/(dx)+(y)/(x)=x^(2) , is

DISHA PUBLICATION-DIFFERENTIAL EQUATIONS -Exercise-2 : Concept Applicator
  1. The solution of differential equation (dy)/(dx) = e^(x-y) + x^(2)e^(-y...

    Text Solution

    |

  2. Let f be a non-negative function defined on the interval [0,1]. If int...

    Text Solution

    |

  3. Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy...

    Text Solution

    |

  4. In a culture, the bacteria count is 1,00,000. The number is increas...

    Text Solution

    |

  5. The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2), is

    Text Solution

    |

  6. The solution of the differential equation x^(3)(dy)/(dx)+4x^(2) tany=e...

    Text Solution

    |

  7. Solution of the differential equation ((x+y-1)/(x+y-2))(dy)/(dx)=((x+y...

    Text Solution

    |

  8. Solve (1+e^((x)/(y)))dx + e^((x)/(y)) (1-(x)/(y))dy = 0

    Text Solution

    |

  9. The function f(x) satisfying the equation f^2 (x) + 4 f'(x) f(x) + (...

    Text Solution

    |

  10. v34

    Text Solution

    |

  11. Solve: dy/dx=(y f\'(x)-y^2)/f(x), where f(x) is a given function of x

    Text Solution

    |

  12. The solution of the differential equation (x+y)^(2)(dy)/(dx) = a^(2...

    Text Solution

    |

  13. The particular solution of the differential equation sin^(-1)((d^2 y)/...

    Text Solution

    |

  14. Solution of differential equation (x^(2) -2x + 2y^(2)) dx + 2xy dy = ...

    Text Solution

    |

  15. Solution of differential equation (dy ) /( dx) +(x ) /( 1 - x^2) y= ...

    Text Solution

    |

  16. Find the general solution of the differential equation: (tan^-1y - x)d...

    Text Solution

    |

  17. Which of the following is a second order differential equatoin

    Text Solution

    |

  18. The curve that satisfies the differential equation y'=(x^(2) + y^2)/(2...

    Text Solution

    |

  19. If phi(x)=int (phi(x))^-2 dx and phi(1)=0 then phi(x) is

    Text Solution

    |

  20. Solution of the differential equation (dx)/(dy)-(xInx)/(1+Inx)=e^y/(1...

    Text Solution

    |