(dy)/(dx)y=5^x

Lösung

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

y = \frac{2 \cdot 5 ^{x} + c _{1}}{ln ( 5 )}, y = - \frac{2 \cdot 5 ^{x} + c _{1}}{ln ( 5 )}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{2 \cdot 5 ^{x} + c _{1}}{ln ( 5 )}, y = - \frac{2 \cdot 5 ^{x} + c _{1}}{ln ( 5 )}

y = \frac{2 \cdot 5 ^{x} + c _{1}}{ln ( 5 )}, y = - \frac{2 \cdot 5 ^{x} + c _{1}}{ln ( 5 )}

\frac{d v}{d t} = v^{2} + 16

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

\frac{d y}{d x} = - 6 y

(tan (x) \frac{d y}{d x}) - y = a

\frac{d p}{d t} = t^{2} p - 2 p + t^{2} - 2