(dy)/(dx)-12y=e^{9x}y^2

Lösung

\frac{d y}{d x} - 12 y = e^{9 x} y^{2}

y = \frac{21 e ^{12 x}}{- e ^{21 x} + c _{1}}

Schritte zur Lösung

\frac{d y}{d x} - 12 y = e^{9 x} y^{2}

Solve Bernoulli ODE:

y = \frac{21 e ^{12 x}}{- e ^{21 x} + c _{1}}

y = \frac{21 e ^{12 x}}{- e ^{21 x} + c _{1}}

\frac{\partial}{\partial x} (4 x y e^{x - y^{2}})

x \to 0 lim (e^{x^{2}} - 1)

\frac{d y}{d x} = x^{2} - y - 2, y (0) = 1

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