xy^'-5y=0

Lösung

x y^{^{'}} - 5 y = 0

y = c_{1} x^{5}

Schritte zur Lösung

x y^{'} (x) - 5 y = 0

Solve separable ODE:

y = c_{1} x^{5}

y = c_{1} x^{5}

\frac{d y}{d x} = x^{6} (y - 4), y (0) = 6

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

(x^{2} + 9) y^{^{'}} = x y

y^{^{'}} = \frac{y + 1}{x + 1}

\frac{d y}{d x} = \frac{4 y ^{\frac{3}{4}}}{x ^{2} + 1}, y (0) = 1