y^'-6y^2e^x=y^2

Lösung

y^{^{'}} - 6 y^{2} e^{x} = y^{2}

y = - \frac{1}{x + 6 e ^{x} + c _{1}}

Schritte zur Lösung

y^{'} (x) - 6 y^{2} e^{x} = y^{2}

Solve separable ODE:

y = - \frac{1}{x + 6 e ^{x} + c _{1}}

y = - \frac{1}{x + 6 e ^{x} + c _{1}}

\frac{d y}{d x} = \frac{cos ( x )}{y}, y (\frac{π}{2}) = 5

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

y^{^{'}} = 4 x^{2} + x^{2} y^{2}

x y^{^{'}} + y = 2

y^{^{'}} - 4 y^{^{'}} + 3 y = 0