(dy)/(dx)=3x^{-2}e^{-y}

Lösung

\frac{d y}{d x} = 3 x^{- 2} e^{- y}

y = ln (- \frac{3}{x} + c_{1})

Schritte zur Lösung

\frac{d y}{d x} = 3 x^{- 2} e^{- y}

Solve separable ODE:

y = ln (- \frac{3}{x} + c_{1})

y = ln (- \frac{3}{x} + c_{1})

\int \frac{( x ^{2} + 9 x + 1 )}{( x ^{2} + 1 ) ^{2}} d x

x^{2} y^{^{''}} + 4 x y^{^{'}} - 4 y = 0, y (1) = 0, y^{^{'}} (1) = 3

\int \frac{225}{x ^{3} - 15 x ^{2}} d x

\int \frac{x ^{2} + 17}{x} d x

\frac{\partial}{\partial x} ((5 x + 2 y) (e^{y}))