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

The solution of the differential equation `(sin x + cos x) dy + (cos x-sin x)dx = 0` is-

A

`e^(x)(sinx+cosx)+c=0`

B

`e^(y)(sin x+cos x)=c`

C

`e^(y)(cosx-sin x)=c`

D

`e^(x)(sin x-cos x+x)=c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 21

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

  • PRACTICE SET 23

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper-2(MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

Solution of the differential equation sin x. cos y dy + cos x. sin y dx = 0 is

The solution of the differential equation sin x cos ydy+cos x sin ydx=0 is

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

Solution of the differential equation x sin xdy+xdx+[sin x cos x-y(x cos x+sin x]dx=0 is

The solution of the differential equation (x cot y+log cos x)dy+(log sin y-y tan x)dx=0 is

Solution of the differential equation cos x cos y dy -sin x sin y dx=0 is

Solve the following differential equation: (sin x+cos x)dy+(cos x-sin x)dx=0

Solution of the differential equation cos xdy=y(sin x-y)dx

The solution of the differential equation x sin d (dy)/(dx) + ( x cos x + sin x ) y = sinx . When y (0)=0 is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 22 -Mathematics
  1. If y=sqrt(x+sqrt(x+sqrt(x+ tooo))) , then (dy)/(dx) is equal to.....

    Text Solution

    |

  2. int(0)^(2pi) (sin x-|sin x|) dx equal to

    Text Solution

    |

  3. The solution of the differential equation (sin x + cos x) dy + (cos x-...

    Text Solution

    |

  4. Locus of the point of intersection of perpendicular tangents to the ci...

    Text Solution

    |

  5. In a Boolean Algebra B, for all x in B, x+1 is equal to

    Text Solution

    |

  6. A normal is drawn at a point P(x, y) of a curve lt meets the x-axis at...

    Text Solution

    |

  7. The total area enclosed by the lines y=|x|,y=0 and |x|=1 is

    Text Solution

    |

  8. intsqrt((x)/(a^(3)-x^(3))) dx is equal to

    Text Solution

    |

  9. If f(x)= |cosxl, then f'((3pi)/4) equal to -

    Text Solution

    |

  10. These is an objective type question with 4 answer choices exactly one ...

    Text Solution

    |

  11. int (cos 2x-1)/(cos 2x+1)dx is equal to

    Text Solution

    |

  12. The equation of the parabola with its vertex at (1, 1) and focus at (3...

    Text Solution

    |

  13. What is the value of (d+a).[axx{bxx(cxxd)}]?

    Text Solution

    |

  14. Let Tr be the r^(th) term of an A.P whose first term is a and common d...

    Text Solution

    |

  15. Let X=[{:(x(1)),(x(2)),(x(3)):}],A=[{:(1,-1,2),(2,0,1),(3,2,1):}] and ...

    Text Solution

    |

  16. Which of the following is a statement ?

    Text Solution

    |

  17. A line passes through the point (2,2) and is perpendicular to the lin...

    Text Solution

    |

  18. The angle of intersection between the curves x^(2) = 4(y +1) and x^(2)...

    Text Solution

    |

  19. If the sum of first n natural numbers is (1)/(78) times the sum of the...

    Text Solution

    |

  20. The locus of the foot of the perpendicular from the foci an any tangen...

    Text Solution

    |