Home
Class 12
MATHS
solution of (x + y)^2(dy)/(dx)=a^2. ('a...

solution of `(x + y)^2(dy)/(dx)=a^2`. ('a', being a constant) is

A

`((x+y))/a="tan"(y+c)/a`, c is an arbitrary constant

B

xy=a tan cx , c is an arbitrary constant

C

`x/a="tan"y/c`, c is an arbitrary constant

D

xy=tan(x+c), c is an arbitrary constant

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|99 Videos
  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

solution of (x+y)^(2)(dy)/(dx)=a^(2)*( la' being a constant) is

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

The solution of (dy)/(dx)=2^(y-x) is

Solution of (2x-10y^(3))(dy)/(dx)+y=0 is:

Find the solution of (dy)/(dx)=2^(y-x)

Solution of x (dy)/(dx) + y = x^(2) y^(4) is

Prove that y=e^(x)+m is a solution of the differential equation (d^(2)y)/(dx^2)-(dy)/(dx)=0 , where m is a constant.

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. At any point on a curve , the slope of the tangent is equal to the sum...

    Text Solution

    |

  2. The general solution of the D.E. (dy)/(dx)=(x+y+1)/(x+y-1) is :

    Text Solution

    |

  3. solution of (x + y)^2(dy)/(dx)=a^2. ('a', being a constant) is

    Text Solution

    |

  4. Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

    Text Solution

    |

  5. The solution of the differential equation (dy)/(dx) = (x-2y+1)/(2x...

    Text Solution

    |

  6. The solution of the differential equation (2x-4y+3)(dy)/(dx)+(x-2y+1)...

    Text Solution

    |

  7. The solution of cos(x + y) dy = dx is

    Text Solution

    |

  8. The general solution of differential equation (dx) /( dy) = co...

    Text Solution

    |

  9. The solution of the differential equation (dy)/(dx)="tan"((y)/(x))+(y)...

    Text Solution

    |

  10. The solution of the equation (dy)/(dx)=(x+y)/(x-y), is

    Text Solution

    |

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

    Text Solution

    |

  12. The general solution of the differential equation (x^2+xy)y'=y^2 is

    Text Solution

    |

  13. The solution of the differential equ (x^2 + y^2) dx = 2 xy dy is-

    Text Solution

    |

  14. The general solution of differential equation dy/dx=(x+y)/(x-y) is

    Text Solution

    |

  15. If any differentisl equation in the form f(f(1)(x,y)d(f(1)(x,y)+phi(...

    Text Solution

    |

  16. The solution of the differential equation y"dy"/"dx"=x[y^2/x^2 + (phi(...

    Text Solution

    |

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

    Text Solution

    |

  18. Solution of the differential equation y cos\ y/x (x dy-y dx)+xsin\ y/x...

    Text Solution

    |

  19. The slope of the tangent at (x , y) to a curve passing through a po...

    Text Solution

    |

  20. Integrating factor of x(dy)/(dx) - y = x^(4) - 3x is

    Text Solution

    |