Home
Class 12
MATHS
Show that the function y=f(x) defined by...

Show that the function `y=f(x)` defined by the parametric equations `x=e^(t)sin(t),y=e^(t).cos(t),` satisfies the relation `y''(x+y)^(2)=2(xy'-y)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise SOLVED EXAMPLES|7 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|61 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

Graph the parametric euation {:{(x=3t+4),(y=t-5):}

Area enclosed by the curve y=f(x) defined parametrically as x=(1-t^2)/(1+t^2), y=(2t)/(1+t^2) is equal

Find the cartesian equation of the curve whose parametric equations are : x=t, y=t^(2)

Let y=f(x) satisfies the equation f(x) = (e^(-x)+e^(x))cosx-2x-int_(0)^(x)(x-t)f^(')(t)dt y satisfies the differential equation

If x=a e^t(sint+cost) and y=a e^t(sint-cost), prove that (dy)/(dx)=(x+y)/(x-y)dot

The graph represented by the equations x= sin ^(2) t, y = 2 cos t is

If the parameter is eliminated from the equations x=t^(2)+1 and y=2t , then the relation between x and y is

If x=a^(sin^-1 t) ,\ y=a^(cos^-1t) ,\ show that (dy)/(dx)=-y/x

x=a(t-sin t),y=a(1+cos t) then (dy)/(dx) =