Home
Class 12
MATHS
Statement I y=asin x+bcos x is general s...

Statement I y=asin x+bcos x is general solution of y''+y=0.
Statement II y=a sin x+b cos x is a trigonometic function.

A

Statement I is true ,and Statement II is the correct explanation for Statement I.

B

Statement I is true, Statement II is true and Statement II is not the correct explanation for Statment I

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Differential Equations Exerise 5 :|2 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|13 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

The general solution of the trigonometic equation "sin"x + "cos"x = 1 is given by

The general solution of the DE ( y - x ) dy + (x + y ) dx = 0 is

The general solution of the DE (dy)/(dx) = (y)/(x) + sin ""(y)/(x) is

Consider the equation x + |y| = 2y. Which of the following statements are not correct?I. y as a function of x is not defined for all real x.II. y as a function of x is not continuous at x=0.III. y as a function of x is differentiable for all x.Select the correct answer using the codes given below.

Show that y=A sin x+B cos x+x sin x is a solution of differential equation y+(d^(2)y)/(dx^(2))=2cos x, where A,B are constants.