Home
Class 12
MATHS
solve : sqrt(a^2+x^2)(dy)/(dx)+y= sqrt(a...

solve : `sqrt(a^2+x^2)(dy)/(dx)+y= sqrt(a^2+x^2)-x`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Solve: (1+x^2)(dy)/(dx) + 2xy = sqrt (x^2+4)

Solve : (1+x^(2))dy/dx+2xy = sqrt(x^(2) + 4)

Solve : sqrt(a-x)dx+sqrt(a+x)dy=0

If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)) ,then (dy)/(dx) is equal to (a) (a y)/(xsqrt(a^2-x^2)) (b) (a y)/(sqrt(a^2-x^2)) (c) (a y)/(xsqrt(a^2-x^2)) (d) none of these

Solve x^2((dy)/(dx))+y=1

Solve (dy)/(dx) = sqrt(1+x+y+xy)

If xy=a[y+sqrt(y^(2)-x^(2))] , prove that, x^(3)(dy)/(dx)=y^(2)(y+sqrt(y^(2)-x^(2)))

If y = sqrt(x) + (1)/(sqrt(x)) prove that 2x(dy)/(dx) + y = 2sqrt(x)

Solve ((dy)/(dx))^2-x(dy)/(dx)+y=0

The integrating factor of the linear differential equation (1-x^(2))^(2)(dy)/(dx) + sqrt(1-x^(2))y=x+sqrt(1-x^(2)) is -

UNITED BOOK HOUSE-SET 7-EXERCISE
  1. Find the equation of the line passing through the point(1,2,3) and par...

    Text Solution

    |

  2. Two unbiased dice are thrown. Find the probability that the sum of the...

    Text Solution

    |

  3. M and E are two equally strong football teams. Findthe probability tha...

    Text Solution

    |

  4. Solve: tan^(-1)sqrt(x(x+1)+sin^(-1)sqrt(1+x+x^2) = pi/2

    Text Solution

    |

  5. If A = [[1,-1],[2,-1]],B = [[a,1],[b,-1]] and (A+B)^2 = A^2+B^2 find a...

    Text Solution

    |

  6. Evaluate: |[alpha, beta,gamma],[alpha^2,beta^2,gamma^2],[beta+gamma,ga...

    Text Solution

    |

  7. Show that |[-1,b,c],[a,-1,c],[a,b,-1]|=(a+1)(b+1)(c+1)(a/(a+1)+b/(b+1...

    Text Solution

    |

  8. If y = tan^(-1) ((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) ...

    Text Solution

    |

  9. Evaluate: int (cos x-sinx )/sqrt(sin 2x)dx

    Text Solution

    |

  10. Evaluate: int x sqrt((a^2-x^2)/(a^2+x^2))dx

    Text Solution

    |

  11. Solve: cos^(-1)((dy)/(dx)) = x+y.

    Text Solution

    |

  12. solve : sqrt(a^2+x^2)(dy)/(dx)+y= sqrt(a^2+x^2)-x

    Text Solution

    |

  13. Find a unit vector in direction parallel to the sum of the vectors vec...

    Text Solution

    |

  14. answer any one question : (ii) let vec a= hat i+4 hat j+ 2hat k , vec...

    Text Solution

    |

  15. Evaluate: overset(1)underset(0)int (tan^(-1)x)/(1+x^2)dx.

    Text Solution

    |

  16. Evaluate : underset(nrarrinfty)lim [1/n + 1/(n+1)+ 1/(n+2) + .... +1...

    Text Solution

    |

  17. Three groups of children contain respectively 3 girls and 1 boy, 2 gir...

    Text Solution

    |

  18. 5% of the electric valves are defective. 10 valves are drawn at random...

    Text Solution

    |

  19. Find the area of the region bounded by the parabola y = x^(2) and y = ...

    Text Solution

    |

  20. Show that the pair of lines whose direction cosines are given by 3 lm-...

    Text Solution

    |