y^'=(x^2)/(y+1),y(0)=4

Lösung

y^{^{'}} = \frac{x ^{2}}{y + 1}, y (0) = 4

y = \frac{- 6 + 24 x ^{3} + 900}{6}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{- 6 + 24 x ^{3} + 900}{6}

y = \frac{- 6 + 24 x ^{3} + 900}{6}

\frac{d x}{d t} = \frac{1}{x e ^{t + 11 x}}

y^{^{'}} = 2 y e^{t}

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

y^{^{'}} + (x + 4) y = 0

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