(dy)/(dx)=ay+b

Lösung

\frac{d y}{d x} = a y + b

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

Schritte zur Lösung

\frac{d y}{d x} = a y + b

Solve separable ODE:

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

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

\frac{1}{x} d x = \frac{1}{y} d y

x y^{2} y^{^{'}} = ln (x)

V^{^{'}} - V^{2} = 5

\frac{d y}{d x} = - 5 y

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