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

Lösung

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

y = \frac{1}{1 - c _{1} x}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{1}{1 - c _{1} x}

y = \frac{1}{1 - c _{1} x}

\int \frac{3 - 18 x}{64 - 9 x ^{2}} d x

\frac{d y}{d x} = \frac{b ^{2} x}{a ^{2} y}

\frac{\partial}{\partial x} (e^{2 x} + y ln (x))

2 y^{^{''}} + y^{^{'}} - 10 y = 0, y (1) = 5, y^{^{'}} (1) = 2

\frac{d}{d x} ((\frac{1}{x ^{2}} - \frac{3}{x ^{4}}) (x + 5 x^{3}))