Home
Class 12
MATHS
Solution of (d^2y)/(dx^2)=log x is...

Solution of `(d^2y)/(dx^2)=log x` is

A

`y=1/2x^2log x-3/4x^2+C_1x+C_2`

B

`y=1/2x^2log x+3/4x^2+C_1x+C_2`

C

`y=(-1)/2x^2log x-3/4x^2+C_1x+C_2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Multiple Choice Questions - LEVEL - II|20 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|11 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos

Similar Questions

Explore conceptually related problems

The solution of (d^2y)/(dx^2)=0 represents :

Which of the following is the general solution of (d^(2)y)/dx^(2) - 2 dy/dx + y =0?

Find the general solution of the differential equation x (dy)/(dx)+2y=x^(2)log x .

The solution of the equation (d^2y)/(dx^2)=e^(-2x) is :

The solution of differential equation : x(dy)/(dx)+2y=x^2 is :

The degree of the differential equation (d^(2) y)/(dx^(2)) + 3 ((dy)/(dx))^(2) = x^(2) log ((d^(2) y)/(dx^(2))) is

Write the degree of the differential equation : y.(d^(2)y)/(dx^(2)) + ((dy)/(dx))^(3) = x((d^(3)y)/(dx^(3)))^(2) .

The solution of dy/dx = 2^(y-x) is

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