(dy}{dx}=\frac{(4sqrt(y)log_{e}(x)))/x

解答

\frac{d y}{d x} = \frac{( 4 y lo g _{e} ( x ) )}{x}

y = ln^{4} (x) + c_{1} ln^{2} (x) + \frac{c _{1}^{2}}{4}

求解步骤

\frac{d y}{d x} = \frac{( 4 y lo g _{e} ( x ) )}{x}

求解可分离方程:

y = ln^{4} (x) + c_{1} ln^{2} (x) + \frac{c _{1}^{2}}{4}

y = ln^{4} (x) + c_{1} ln^{2} (x) + \frac{c _{1}^{2}}{4}

t an g e n t - 3 cos (x), at x = \frac{π}{2}

y^{^{''}} - 14 y^{^{'}} + 49 y = e^{8 x} (x^{2} - 9 x - 2)

y^{^{'}} = 1 + e^{y - x + 5}

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