Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Differential Equation?

dy/dx = 7x sqrt(y)

3 Answers

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  • alex
    Lv 7
    1 month ago

    Hint:

    separation method

    dy/√y = 7xdx

  • rotchm
    Lv 7
    1 month ago

    Via a little highschool algebra, rewrite as 

    dy/√y = 7 xdx

    y^(1/2) dy = 7 x dx

    Now the calculus part: Integrate both sides, which you know how to do.

    What do you get?

    Hopefully no one will spoil you the answer thereby depriving you from your personal enhancement; that would be very inconsiderate of them. 

     

  • dy / sqrt(y) = 7x * dx

    2 * sqrt(y) = (7/2) * x^2 + C

    4y = ((7/2) * x^2 + C)^2

    y = (1/4) * (3.5 * x^2 + C)^2

    y = 0.25 * (3.5 * x^2 + C)^2

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