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

The solution of the differential equation `(dy)/(dx)=3^(x+y)` at x=0=y is

A

`3^x + 3^(-y) -2 =0`

B

`3^x - 3^(-y)-2=0`

C

`3^x + 3^(-y) +c =0`

D

`3^(x) + 3^(-y) -c =0`

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 differential equation (dy)/(dx)=3^(x+y) is

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

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

The solution of differential equation x(dy)/(dx)=y is :

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

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

solution of differential equation (dy)/(dx)=(x+e^(x))/(y)

Solution of differential equation: x(dy)/(dx)+y=x^(4)

The solution of the differential equation (dy)/(dx) = sec x -y tan x is

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

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |

  2. The solution of (dy)/(dx) = 1+ y + y^(2) + x+ xy + xy^(2) is

    Text Solution

    |

  3. The solution of the differential equation (dy)/(dx)=3^(x+y) at x=0=y i...

    Text Solution

    |

  4. The particular solution of the differential equation xdy + 2 y dx = ...

    Text Solution

    |

  5. The solution of the differential equation 2x(dy)/(dx)-y=0 , y(1)=2 re...

    Text Solution

    |

  6. Particular solution of differential equation e^("dy"/"dx") =x:y (1) = ...

    Text Solution

    |

  7. The solution of log.(dy)/(dx)=x when y=1 and x=0 is :

    Text Solution

    |

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

    Text Solution

    |

  9. If (dy)/(dx)=y+3 and y(0)=2, then y(ln 2) is equal to

    Text Solution

    |

  10. If "dy"/"dx"=1-y and y(0)=3, then y(loge 8) is equal to

    Text Solution

    |

  11. The particular solution of the differential equation y(1+log x...

    Text Solution

    |

  12. Solution of the differential equation sin((dy)/(dx))=a with y(0)=1 is

    Text Solution

    |

  13. if y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)= ...

    Text Solution

    |

  14. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |

  15. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |

  16. At any point on a curve , the slope of the tangent is equal to the sum...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |