Home
Class 12
MATHS
Show that, v = A/r + B satisfies the di...

Show that, `v = A/r + B` satisfies the differential equation `(d^2v)/(dr^2)+2/r.(dv)/(dr)=0`

Promotional Banner

Topper's Solved these Questions

  • Differentiation

    A DAS GUPTA|Exercise Exercise|98 Videos
  • Differential Equation of the First Order

    A DAS GUPTA|Exercise Exercise|64 Videos
  • Elementary Probability

    A DAS GUPTA|Exercise Exercise|137 Videos

Similar Questions

Explore conceptually related problems

Show that,v=(A)/(r)+B satisfies the differential equation (d^(2)v)/(dr^(2))+(2)/(r)*(dv)/(dr)=0

Find the differential equations corresponding to v=(A)/(r )+B .

A function f:R rarr R satisfies the differential equation 2xy+(1+x^(2))y'=1 where f(0)=0 then

Evaluate int (dv)/(1+2v)

Solution of the differential equation dr+(2rcot theta+sin2theta)d theta=0 is

Evaluate : int (( 2v ) / (v^2 -1) ) dv

If p=9, v=3 , then find p is terms of v from the equation (dp)/(dv)=v+1/v^2

The particular solution of the differential equation cos ((dy)/(dx)) = a, (a in R) , satisfying the condition , y = 2 when x =0 is

If y=u//v," where "u,v," are differentiable functions of x and "vne0," then: "u(dv)/(dx)+v^(2)(dy)/(dx)=

A DAS GUPTA-Differentiation-Exercise
  1. If y=2/(sqrt (a^2-b^2)) tan ^-1 [(sqrt( a-b)/(a+b)) tan x/2], show tha...

    Text Solution

    |

  2. Show that y= Asin x + Bcos x + xsin x is a solution of differential eq...

    Text Solution

    |

  3. Show that, v = A/r + B satisfies the differential equation (d^2v)/(dr...

    Text Solution

    |

  4. If y=(ax^2)/((x-a)(x-b)(x-c))+(bx)/((x-b)(x-c))+c/(x-c)+1 then (y prim...

    Text Solution

    |

  5. If y=sqrt (a^2-x^2)+a/2 log ((a-sqrt(a^2-x^2))/(a+sqrt(a^2-x^2))), the...

    Text Solution

    |

  6. Find (dy)/(dx), if y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\

    Text Solution

    |

  7. "if y"="cos"^(-1)((5"cos" x-12 "sin"x)/(13)), where x in (0,(pi)/(2)...

    Text Solution

    |

  8. Find dy/dx if y is equal to : (xlogx)^loglog x

    Text Solution

    |

  9. Find dy/dx if y is equal to : x^(x^x) + (cot 4x)^x

    Text Solution

    |

  10. Find dy/dx if y is equal to : (tan x)^sin x + (log x )^x

    Text Solution

    |

  11. Find dy/dx if y is equal to : x^(x^n) +x^(n^x)

    Text Solution

    |

  12. Find dy/dx if y is equal to : {(tan x)^tan x } at x= pi/4

    Text Solution

    |

  13. Find the derivative with respect to x of ((log)(cosx)sinx)((log)(sinx)...

    Text Solution

    |

  14. Find dy/dx if : x^sin y +y^cos x =1

    Text Solution

    |

  15. If y^x+x^y=(x+y)^(x+y) find dy/dx

    Text Solution

    |

  16. Find (dy)/(dx) if : y= x/(a+ x/(b+ x/(a+ x/(b+ …))))

    Text Solution

    |

  17. Find dy/dx if : y=(x^(x^x…. to prop))

    Text Solution

    |

  18. If sqrt(1-x^4)+sqrt(1-y^4)=k(x^2-y^2), prove that dy/dx=(xsqrt(1-y^4)...

    Text Solution

    |

  19. Find the derivative of f(x)=log(x)sin x^2 + (sin x^2) ^(logex) w.r.t. ...

    Text Solution

    |

  20. Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...

    Text Solution

    |