Home
Class 12
MATHS
The order and degree of the differetnia...

The order and degree of the differetnial equation `sqrt(sin x) (dx+dy) = sqrt(cos x )(dx-dy)` are

A

(1,2)

B

(2,2)

C

(1,1)

D

(2,1)

Text Solution

Verified by Experts

The correct Answer is:
c

Given , `sqrt(sin x)(1+(dy)/(dx)) = sqrt(cosx ) (1- (dy)/(dx))`
` rArr (dy)/(dx) = (sqrt(cosx)- sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))`
` :. ` Order =1 , degree =1
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|27 Videos
  • DIFFERENTIAL EQUATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|27 Videos
  • DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|22 Videos
  • DIFFERENTIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORER|35 Videos

Similar Questions

Explore conceptually related problems

Order and degree of the differential equation (dy)/(dx) +2 ((dx)/(dy)) = 7

The order and degree of the differential equation sqrt((dy)/(dx))-4(dy)/(dx)-7x=0 are

The order and the degree of the differential equation y = x (dy)/(dx) +2/(dy//dx) are

Find the order and degree of the differential equation (dy)/(dx)+sin((dy)/(dx))=0

What are the order and degree respectively of the differential equation y = x "" (dx)/(dy) + (dx)/(dy) ?

The order and degree of the differential equation sqrt(dy/dx) -(4d^2y)/dx^2 -7x =0 are a and b, then a+b is

The order and the degree of the differential equation sqrt(y+ (d^(2)y)/(dx))= x + ((dy)/dx)^(3//2) are

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-PRACTICE EXERCISE (Exercise 2 )
  1. The general solution of the differential equation (dx)/(dy)+(x/y)^2-...

    Text Solution

    |

  2. The general solution of the differential equaiton (1+y^(2))dx+(1+x^(2)...

    Text Solution

    |

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

    Text Solution

    |

  4. The differential equation (dy)/(dx) = (x(1+y^(2)))/(y(1+x^(2)) repres...

    Text Solution

    |

  5. If xsin((y)/(x))dy=[ysin((y)/(x))-x]dx ad y(1)=(pi)/(2), then the valu...

    Text Solution

    |

  6. Solution of the differential equation tan y.sec^(2) x dx + tan x. sec^...

    Text Solution

    |

  7. The solution of e^(dy//dx) = (x+1) , y (0) = 3 is

    Text Solution

    |

  8. Solution of the differential equation x((dy)/(dx))^(2)+2sqrt(xy)(dy)...

    Text Solution

    |

  9. If C is an arbitrary constant , then the general solution of the diffe...

    Text Solution

    |

  10. Find the differential equation of system of cocentric circles with cen...

    Text Solution

    |

  11. If a curve passes through the point (2,7/2) and has slope (1-1/(x^(2)...

    Text Solution

    |

  12. The population p(t) at time t of a certain mouse species satisfies the...

    Text Solution

    |

  13. The population p(t) at time t of a certain mouse species satisfies the...

    Text Solution

    |

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

    Text Solution

    |

  15. Let I be the purchase value of an equipment and V(t) be the value afte...

    Text Solution

    |

  16. Find the equation of the curve in which the perpendicular from the ori...

    Text Solution

    |

  17. The volume of spherical balloon being inflated changes at a constan...

    Text Solution

    |

  18. The order and degree of the differetnial equation sqrt(sin x) (dx+dy...

    Text Solution

    |

  19. The equation of curve in which portion of y-axis cutoff between origin...

    Text Solution

    |

  20. A normal at any point (x,y) to the curve y = f(x) cuts triangle of uni...

    Text Solution

    |