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

Lösung

y \cdot \frac{d y}{d x} + 2 x - 1 = 0

y = - 2 x^{2} + 2 x + c_{1}, y = - - 2 x^{2} + 2 x + c_{1}

Schritte zur Lösung

y \cdot \frac{d y}{d x} + 2 x - 1 = 0

Solve separable ODE:

y = - 2 x^{2} + 2 x + c_{1}, y = - - 2 x^{2} + 2 x + c_{1}

y = - 2 x^{2} + 2 x + c_{1}, y = - - 2 x^{2} + 2 x + c_{1}

2 \frac{d y}{d x} = - 4 y + 5

\frac{d y}{d x} = x y, x (1) = 4

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

y^{^{'}} = - 4 x y + 8 x

\frac{d y}{d x} = 3 x^{3} y - y