y^'=e^{3x}y^2

Lösung

y^{^{'}} = e^{3 x} y^{2}

y = - \frac{3}{e ^{3 x} + c _{1}}

Schritte zur Lösung

y^{'} (x) = e^{3 x} y^{2}

Solve separable ODE:

y = - \frac{3}{e ^{3 x} + c _{1}}

y = - \frac{3}{e ^{3 x} + c _{1}}

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

\frac{d x}{d t} = e^{x} t cos (t)

\frac{d y}{d x} + 9 x^{2} y = 27 x^{2}

\frac{d x}{d t} = 18 - \frac{18}{100} x

3.03 y^{^{'}} + 0.755 y = 6.05