f^'(x)=9f(x)

Lösung

f^{^{'}} (x) = 9 f (x)

f (x) = e^{9 x + c_{1}}

Schritte zur Lösung

f^{'} (x) = 9 f (x)

Solve separable ODE:

f (x) = e^{9 x + c_{1}}

f (x) = e^{9 x + c_{1}}

\frac{d y}{d x} y = (2 x + 5) (x^{3} - x^{8}) (x^{- 7})

3 y^{4} - 1 + 12 x y^{3} y^{^{'}} = 0

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

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

y^{^{'}} = \frac{x + 4}{y ^{2}}