(dy)/(dx)=((x^2y-y))/((y+1)),y(0)=1

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

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