Maths-
General
Easy

Question

The solution of the differential equation fraction numerator d y over denominator d x end fraction plus fraction numerator y over denominator x end fraction equals x to the power of 2 end exponent is

  1. 4 x y equals x to the power of 4 end exponent plus c    
  2. x y equals x to the power of 4 end exponent plus c    
  3. fraction numerator 1 over denominator 4 end fraction x y equals x to the power of 4 end exponent plus c    
  4. x y equals 4 x to the power of 4 end exponent plus c    

The correct answer is: 4 x y equals x to the power of 4 end exponent plus c


    The given equation fraction numerator d y over denominator d x end fraction plus fraction numerator y over denominator x end fraction equals x to the power of 2 end exponentis of the form
    fraction numerator d y over denominator d x end fraction plus P y equals Q. So, I.F.= e to the power of not stretchy integral fraction numerator 1 over denominator x end fraction d x end exponent equals e to the power of log invisible function application x end exponent equals x
    Hence required solution x y equals not stretchy integral x. x to the power of 2 end exponent d x plus c
    Þ x y equals fraction numerator x to the power of 4 end exponent over denominator 4 end fraction plus c Þ 4 x y equals x to the power of 4 end exponent plus c.

    Related Questions to study

    General
    maths-

    Solution of differential equation fraction numerator d y over denominator d x end fraction equals fraction numerator y minus x over denominator y plus x end fraction is

    Solution of differential equation fraction numerator d y over denominator d x end fraction equals fraction numerator y minus x over denominator y plus x end fraction is

    maths-General
    General
    maths-

    The solution of the equation fraction numerator d y over denominator d x end fraction equals fraction numerator x over denominator 2 y minus x end fraction is

    The solution of the equation fraction numerator d y over denominator d x end fraction equals fraction numerator x over denominator 2 y minus x end fraction is

    maths-General
    General
    maths-

    The solution of the differential equation fraction numerator d y over denominator d x end fraction equals fraction numerator x y over denominator x to the power of 2 end exponent plus y to the power of 2 end exponent end fraction is

    The solution of the differential equation fraction numerator d y over denominator d x end fraction equals fraction numerator x y over denominator x to the power of 2 end exponent plus y to the power of 2 end exponent end fraction is

    maths-General
    parallel
    General
    maths-

    The solution of the differential equation x d y minus y d x equals left parenthesis square root of x to the power of 2 end exponent plus y to the power of 2 end exponent right parenthesis end root d x is

    The solution of the differential equation x d y minus y d x equals left parenthesis square root of x to the power of 2 end exponent plus y to the power of 2 end exponent right parenthesis end root d x is

    maths-General
    General
    maths-

    The solution of the equation fraction numerator d y over denominator d x end fraction equals fraction numerator x plus y over denominator x minus y end fraction is

    The solution of the equation fraction numerator d y over denominator d x end fraction equals fraction numerator x plus y over denominator x minus y end fraction is

    maths-General
    General
    maths-

    The solution of fraction numerator d y over denominator d x end fraction plus square root of open parentheses fraction numerator 1 minus y to the power of 2 end exponent over denominator 1 minus x to the power of 2 end exponent end fraction close parentheses end root equals 0 is

    The solution of fraction numerator d y over denominator d x end fraction plus square root of open parentheses fraction numerator 1 minus y to the power of 2 end exponent over denominator 1 minus x to the power of 2 end exponent end fraction close parentheses end root equals 0 is

    maths-General
    parallel
    General
    maths-

    Solution of y d x minus x d y equals x to the power of 2 end exponent y d x is

    Solution of y d x minus x d y equals x to the power of 2 end exponent y d x is

    maths-General
    General
    maths-

    Solution of differential equation fraction numerator d y over denominator d x end fraction equals 2 x y is

    Solution of differential equation fraction numerator d y over denominator d x end fraction equals 2 x y is

    maths-General
    General
    maths-

    The solution of the differential equation x left parenthesis e to the power of 2 y end exponent minus 1 right parenthesis d y plus left parenthesis x to the power of 2 end exponent minus 1 right parenthesis e to the power of y end exponent d x equals 0 is

    The solution of the differential equation x left parenthesis e to the power of 2 y end exponent minus 1 right parenthesis d y plus left parenthesis x to the power of 2 end exponent minus 1 right parenthesis e to the power of y end exponent d x equals 0 is

    maths-General
    parallel
    General
    maths-

    The solution of the equation sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator d y over denominator d x end fraction close parentheses equals x plus y is

    The solution of the equation sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator d y over denominator d x end fraction close parentheses equals x plus y is

    maths-General
    General
    maths-

    The solution of the differential equation fraction numerator d y over denominator d x end fraction equals fraction numerator left parenthesis 1 plus x right parenthesis y over denominator left parenthesis y minus 1 right parenthesis x end fraction is

    The solution of the differential equation fraction numerator d y over denominator d x end fraction equals fraction numerator left parenthesis 1 plus x right parenthesis y over denominator left parenthesis y minus 1 right parenthesis x end fraction is

    maths-General
    General
    maths-

    The solution of the differential equation left parenthesis 1 plus cos invisible function application x right parenthesis d y equals left parenthesis 1 minus cos invisible function application x right parenthesis d x is

    The solution of the differential equation left parenthesis 1 plus cos invisible function application x right parenthesis d y equals left parenthesis 1 minus cos invisible function application x right parenthesis d x is

    maths-General
    parallel
    General
    maths-

    The solution of the differential equation left parenthesis sin invisible function application x plus cos invisible function application x right parenthesis d y plus left parenthesis cos invisible function application x minus sin invisible function application x right parenthesis d x equals 0 is

    The solution of the differential equation left parenthesis sin invisible function application x plus cos invisible function application x right parenthesis d y plus left parenthesis cos invisible function application x minus sin invisible function application x right parenthesis d x equals 0 is

    maths-General
    General
    maths-

    The solution of the differential equation left parenthesis 1 plus x to the power of 2 end exponent right parenthesis fraction numerator d y over denominator d x end fraction equals x is

    The solution of the differential equation left parenthesis 1 plus x to the power of 2 end exponent right parenthesis fraction numerator d y over denominator d x end fraction equals x is

    maths-General
    General
    maths-

    Let f : R → R such that for all ‘x’ and y in R vertical line f left parenthesis x right parenthesis minus f left parenthesis y right parenthesis vertical line less or equal than vertical line x minus y vertical line to the power of 3 end exponent text  then  end text f left parenthesis x right parenthesis

    Let f : R → R such that for all ‘x’ and y in R vertical line f left parenthesis x right parenthesis minus f left parenthesis y right parenthesis vertical line less or equal than vertical line x minus y vertical line to the power of 3 end exponent text  then  end text f left parenthesis x right parenthesis

    maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.