12th Class Mathematics Differential Equations

  • question_answer 71)
    (x + y) dy + (x – y) dx = 0, y = 1 when x =1.  

    Answer:

          Clearly it is homogeneous equation of degree 0.       Put y = vx so that                                                             ?. (1)       It is given that y = 1, when x =1        log 2 + 2 tan?1 (1) = 2C                   Put in (1)             which is the required solution.  


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