(dy)/(dx)=(y+2)(x+1)

Lösung

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

y = e^{\frac{x ^{2}}{2} + x + c_{1}} - 2

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + x + c_{1}} - 2

y = e^{\frac{x ^{2}}{2} + x + c_{1}} - 2

x y y^{^{'}} - y^{2} = 1

\frac{d y}{d x} = 3 x^{2} cos^{2} (y)

e^{x} \frac{d y}{d x} = 1 + y^{2}

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

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