Home
Class 12
MATHS
If e^(y//x)=(x)/(a+bx) then show that x^...

If `e^(y//x)=(x)/(a+bx)` then show that `x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/(dx)-y)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
`log (xy' - y) = log a + (y)/(x) (log e)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUESTION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group B (60 Marks) |25 Videos

  • QUESTION PAPER 2018

    ARIHANT PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)|38 Videos

  • QUESTION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|13 Videos

Similar Questions

Explore conceptually related problems

If (a + bx)e^(y/x) = x , then show that x^3d/dx (dy/dx) = (x dy/dx - y)^2

Find the order and degree of the following differential equations : x^(3)((d^(2)y)/(dx^2))^(2)+x((dy)/(dx))^(4)=0

Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d^(2)y)/(dx^2)-6(dy)/(dx)+9y=0

Show that y= Cx+(a)/(C ) is a solution of differential equation y= x(dy)/(dx)+(a)/((dy)/(dx)) , where C is a parameter.

Find the degree of the following differential equation ((d^(2)y)/(dx^(2)))^(3)+((dy)/(dx))^(2)+sin(dy/(dx))+1=0.

Write the order and degree of the differential equation ((dy)/(dx))^(5)= (((d^(2)y)/(dx^2))^(3))/(1+(dy)/(dx))

Verify that the function y= e^(-3x) is a solution of the differential equation (d^(2)y)/(dx^2)+(dy)/(dx)-6y=0

Find the order and degree of each of the following differential equations, if defined. xy((d^(2)y)/(dx^2))^(2)+x((dy)/(dx))-y((dy)/(dx))=0

Find the order and degree of the following differential equations : ((d^(2)y)/(dx^2))^(3)+2((dy)/(dx))^(4)+6= cos x

Find the order and degree of the following differential equations : x(dy)/(dx)+(2)/((dy"/"dx))=y^(2)

Home
Profile