Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation `(1-x^(2)).(dy)/(dx)+xy=(x-x^(3))y^((1)/(2)),` is ` (AA|x| lt1)sqrt(9y)=-f(x)=c(1-x^2)^((1)/(4))`, where c is an arbitrary constant and `f((1)/(2))=(3)/(4)`. Then `f(x)` is

A

an odd function

B

an even function

C

a periodic function

D

symmetric about line x = 1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 98

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA TPC JEE MAIN TEST 100

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation x(x^(2)+1)(dy//dx)=y(1-x^(2))+x^(3)logx is

Solution of the differential equation xy^(3)(dy)/(dx)=1-x^(2)+y^(2)-x^(2)y^(2) is

The solution of the differential equation xy(dy)/(dx)=(1+y^(2))(1+x+x^(2))/(1+x^(2))

The solution of the differential equation xy(dy)/(dx)=((1+y^(2))(1+x+x^(2)))/(1+x^(2)) is:

The solution of the differential equation log((dy)/(dx))=4x-2y-2,y=1, where x=1 is

NTA MOCK TESTS-NTA JEE MOCK TEST 99-MATHEMATICS
  1. Two circles have an external tangent with length 36 cm. The shortest d...

    Text Solution

    |

  2. If 4 letter words are formed using letters of the word 'MORADABAD'. Th...

    Text Solution

    |

  3. The number of values of alpha in [-10pi, 10pi] for which the equations...

    Text Solution

    |

  4. The line joining (5,0) to (10cos theta,10sin theta) is divided interna...

    Text Solution

    |

  5. Let veca=hati-hatj+hatk, vecb=2hati+hatj+hatk and vecc=hati+hatj-2hatk...

    Text Solution

    |

  6. Find the common tangent of y=1+x^(2) and x^(2)+y-1=0. Also find their ...

    Text Solution

    |

  7. For a complex number z, if z^(2)+barz-z=4i and z does not lie in the f...

    Text Solution

    |

  8. The solution of the differential equation (1-x^(2)).(dy)/(dx)+xy=(x-x^...

    Text Solution

    |

  9. If the equation ax^2+2bx-3c=0 has non real roots and < a+b then c is...

    Text Solution

    |

  10. If I=int((lnx)^(5))/(sqrt(x^(2)+x^(2)(lnx)^(3)))dx=ksqrt((lnx)^(3)+1)(...

    Text Solution

    |

  11. The function f(x)=pix^(3)-(3pi)/(2)(a+b)x^(2)+3piabx has a local minim...

    Text Solution

    |

  12. The sum sum(r=1)^50 r.(2^r+2^(50-r)) equals

    Text Solution

    |

  13. The number of five - digit telephone numbers having atleast one of the...

    Text Solution

    |

  14. The limit L=lim(nrarroo)Sigma(r=4)^(n-4)(n)/(n^(2)+r^(2)) satisfies th...

    Text Solution

    |

  15. The sum of the first three terms of an arithmetic progression is 9 and...

    Text Solution

    |

  16. The number of solution of the equation Sigma(r=1)^(5)cos(rx)=0 lying i...

    Text Solution

    |

  17. The marks obtained by 9 students in a chemistry test are 50, 69, 20, 3...

    Text Solution

    |

  18. Let A and B are square matrices of order 3. If |A|=4, |B|=6, B=A-2I an...

    Text Solution

    |

  19. Tangents are drawn from a point P to the hyperbola x^2/2-y^2= 1 If the...

    Text Solution

    |

  20. Let A=x^(4)+4x^(3)+2x^(2)-4x+7 where x=cot.(11pi)/(8) and B=(1-cos 8th...

    Text Solution

    |