(dy)/(dx)=(sqrt(y^2-9)),y(1)=4

解答

\frac{d y}{d x} = (y^{2} - 9), y (1) = 4

y = - \frac{7 - 4}{2 e ^{x - 1}} - \frac{23 ( 7 - 4 ) e ^{x - 1}}{18} + \frac{4 7 e ^{x - 1}}{7 + 4}

求解步骤

\frac{d y}{d x} = (y^{2} - 9)

求解可分离方程:

y = - \frac{7 - 4}{2 e ^{x - 1}} - \frac{23 ( 7 - 4 ) e ^{x - 1}}{18} + \frac{4 7 e ^{x - 1}}{7 + 4}

y = - \frac{7 - 4}{2 e ^{x - 1}} - \frac{23 ( 7 - 4 ) e ^{x - 1}}{18} + \frac{4 7 e ^{x - 1}}{7 + 4}

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