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Find the solution of dydx=2y−x .

0 2 Views | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    3 months ago

    This is a Short Answer Type Questions as classified in NCERT Exemplar

    Sol:

    The  given  differential  equation  is             dydx=2y−x     ⇒dydx=2y2xSeparating  the  variables,  we  get    dy2y=dx2x     ⇒2−ydy=2−xdxIntegrating  both  sides,  we  get          ∫2−ydy=∫2−xdx                      −2−ylog2=−2−xlog2+c       ⇒−2−y=−2−x+clog2⇒               −2−y+2−x=clog2⇒               2−x−2−y=k             [where  clog2=k]

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