Home
Class 12
MATHS
The graph of the function y=f(x) passing...

The graph of the function `y=f(x)` passing through the point (0,1) and satisfying the differential equation `(dy)/(dx)+ycosx=cosx` is such that

A

it is a constanat function

B

it is periodic

C

it is neither an even nor an odd function

D

it is continuous and differrntiable for all x

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|18 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

Solve the differential equation: (dy)/(dx)-y=cosx

Solve the differential equation: (dy)/(dx)+y=cosx

Solve the differential equation: (dy)/(dx)+y=0

Solve the differential equation: (dy)/(dx)+y=cosx-sinx

The graph of the linear equation y = x passes through the point

Solve the differential equation: cos^3x(dy)/(dx)+ycosx=sinx

Find the equation of a curve passing through the origin and satisfying the differential equation (1+x^2)(dy)/(dx)+2xy=4x^2

Solve the differential equation: x(dy)/(dx)+y=xlogx, x>0

Find the general solution of the differential equation: (dy)/(dx) - y = cosx