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Beliebt Rechnen >

(dy}{dx}=\frac{ln(2))/7 y-80000

Lösung

\frac{d y}{d x} = \frac{ln ( 2 )}{7} y - 80000

Lösung

y = \frac{e ^{\frac{l n ( 2 ) x + c _{1}}{7}}}{ln ( 2 )} + \frac{560000}{ln ( 2 )}

Schritte zur Lösung

\frac{d y}{d x} = \frac{ln ( 2 )}{7} y - 80000

Solve separable ODE:

y = \frac{e ^{\frac{l n ( 2 ) x + c _{1}}{7}}}{ln ( 2 )} + \frac{560000}{ln ( 2 )}

y = \frac{e ^{\frac{l n ( 2 ) x + c _{1}}{7}}}{ln ( 2 )} + \frac{560000}{ln ( 2 )}

Beliebte Beispiele

(dy)/(dx)=3*(y^5)/(x^4)

\frac{d y}{d x} = 3 \cdot \frac{y ^{5}}{x ^{4}}

y^{^{'}} = - \frac{37 t}{y}

(dy)/(dx)=(1+x+x^2)y

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

y^{^{'}} = 7 e^{3 x - 5 y}

(dV)/(dt)=(10-4/100 V),V(0)=0

\frac{d V}{d t} = (10 - \frac{4}{100} V), V (0) = 0