f^'(x)=7f(x)

Lösung

f^{^{'}} (x) = 7 f (x)

f (x) = e^{7 x + c_{1}}

Schritte zur Lösung

f^{'} (x) = 7 f (x)

Solve separable ODE:

f (x) = e^{7 x + c_{1}}

f (x) = e^{7 x + c_{1}}

y^{^{'}} = 8 x (y^{2} + 1)

(3 t^{5} + 1) y \frac{d y}{d t} = 4 t^{4}

\frac{d x}{d t} = \frac{1 - x ^{2}}{x t}

y^{^{'}} = \frac{x}{e ^{y}}

y^{^{'}} = \frac{x sin ( x )}{y}, y (0) = - 1