(dy)/(dx)=(x-1)^2e^y

Lösung

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

y = - ln (- \frac{x ^{3}}{3} + x^{2} - x - c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = - ln (- \frac{x ^{3}}{3} + x^{2} - x - c_{1})

y = - ln (- \frac{x ^{3}}{3} + x^{2} - x - c_{1})

\frac{d y}{d x} + 2 y = e^{2}

(2 + t) y^{^{'}} + y = - 1

\frac{d y}{d x} 8 x^{2} - y^{2} = 6

x^{^{'}} = e^{x + t}

\frac{d y}{d t} + 2 y = 11