(dP)/(dt)-aP(t)=b

Lösung

\frac{d P}{d t} - a P = b

P = \frac{e ^{t a + c_{1} a}}{a} - \frac{b}{a}

Schritte zur Lösung

\frac{d P}{d t} - a P = b

Solve separable ODE:

P = \frac{e ^{t a + c_{1} a}}{a} - \frac{b}{a}

P = \frac{e ^{t a + c_{1} a}}{a} - \frac{b}{a}

\frac{d y}{d x} = - \frac{2}{4} x^{7} y^{5}

y^{^{'}} + \frac{y}{6} = 2, y (- 1) = 0

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

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

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