Home
Class 12
MATHS
Find (dy)/(dx), when xa n dy are connect...

Find `(dy)/(dx),` when `xa n dy` are connected by the following relations `(i) a x^2+2h x y+b y^2+2gx+2fy+c=0` `(ii) x y+x e^(-y)+ydote^x=x^2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BOARD PAPER SOLUTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|65 Videos

  • DETERMINANTS

    RESONANCE DPP ENGLISH|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

If a x^2+2\ h x y+b y^2+2\ gx+2\ fy+c=0 , find (dy)/(dx) .

Solve the following differential equations: (x^2+3x y+y^2)dx-x^2dy=0

Solve the following differential equation: x^2dy+(x^2-x y+y^2)dx=0

Solve the following differential equation: y^2dx+(x^2-x y+y^2)dy=0

Solve the following differential equation : y^2dx+(x^2-x y+y^2)dy=0

Solve the following differential equation: \ (y^2-2x y)dx=(x^2-2x y)dy

Find (dy)/(dx)\ if (x^2+y^2)^2=x y

Solve the following differential equations: [xsqrt(x^2+y^2)-y^2]dx + x y \ dy=0

Solve the following differential equation: (x^2-y^2)dx+2x y\ dy=0 given that \ y=1\ when x=1

Solve the following differential equations: (dy)/(dx)=1+x+y+x y (ii) y-x(dy)/(dx)=a(y^2+(dy)/(dx))

RESONANCE DPP ENGLISH-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. y=tan^(-1)""(4x)/(1+5x^(2))+tan^(-1)""(2+3x)/(3-2x)

    Text Solution

    |

  2. If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2) , then find (dy)/(dx) at x=1...

    Text Solution

    |

  3. Find (dy)/(dx), when xa n dy are connected by the following relations ...

    Text Solution

    |

  4. Let : f(x)={(sina x^2)/(x^2),x!=0 3/4+1/(4a),x=0 for what values of a...

    Text Solution

    |

  5. If y=A e^(-k t)cos(p t+c), then prove that (d^2y)/(dt^2)+2k(dy)/(dx)+n...

    Text Solution

    |

  6. (d^2x)/(dy^2) equals: ((d^2y)/(dx^2))^(-1) (b) -((d^2y)/(dx^2))^(-1)(...

    Text Solution

    |

  7. If x=a t^2,y=2a t , then (d^2y)/(dx^2) is equal to (a)-1/(t^2) (b...

    Text Solution

    |

  8. If x=(1+t)/(t^3),y=3/(2t^2)+2/t , then x((dy)/(dx))^3-(dy)/(dx) is e...

    Text Solution

    |

  9. If e^y(x+1)=1, show that (d^(2y))/(dx^2)=((dy)/(dx))^2 If y=sin(2sin^...

    Text Solution

    |

  10. Evaluate : ("lim")(xvec2a^+)(sqrt(x-2a)+sqrt(x)-sqrt(2a))/sqrt(x^2-4a^...

    Text Solution

    |

  11. Evaluate: lim(x to 0^+)((e^(xln(2^(x-1)))-(2^x-1)^xsinx)/(e^(x lnx)))...

    Text Solution

    |

  12. Let f(x)=[(sinx)/x]+[(2sin2x)/x]++[(10sin10 x)/x] (where [.] is the gr...

    Text Solution

    |

  13. The sum of the series x/(1!)+(2x^2)/(2!)+(3x^3)/(3!)+ is x e^x b. -x e...

    Text Solution

    |

  14. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

    Text Solution

    |

  15. If f(x)=(log)x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e ...

    Text Solution

    |

  16. Let y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then ...

    Text Solution

    |

  17. If x=(1+t)/(t^(3)),y=(3)/(2t^(2))+(2)/(t) satisfy f(x)((dy)/(dx))^(3)=...

    Text Solution

    |

  18. Let f(x) ={{:((x-4)/(|x-4|)+a,xlt4),(a+b,x=4),( (x-4)/(|x-4|)+b, x gt4...

    Text Solution

    |

  19. The point(s) of minimum of function, f(x)=4x^3-x|x-2|,x in [0,3] is x=...

    Text Solution

    |

  20. Let g(x)=log(e)f(x) where f(x) is twice differentiable positive functi...

    Text Solution

    |