(dQ}{dt}=r(t)-\frac{ln(2))/6 Q

Lösung

\frac{d Q}{d t} = r (t) - \frac{ln ( 2 )}{6} Q

Q = \frac{6 r ( ln ( 2 ) e ^{\frac{l n ( 2 ) t}{6}} t - 3 \cdot 2 ^{\frac{t + 6}{6}} )}{ln ^{2} ( 2 ) e ^{\frac{l n ( 2 ) t}{6}}} + \frac{c _{1}}{e ^{\frac{l n ( 2 ) t}{6}}}

Schritte zur Lösung

\frac{d Q}{d t} = r (t) - \frac{ln ( 2 )}{6} Q

Solve linear ODE:

Q = \frac{6 r ( ln ( 2 ) e ^{\frac{l n ( 2 ) t}{6}} t - 3 \cdot 2 ^{\frac{t + 6}{6}} )}{ln ^{2} ( 2 ) e ^{\frac{l n ( 2 ) t}{6}}} + \frac{c _{1}}{e ^{\frac{l n ( 2 ) t}{6}}}

Q = \frac{6 r ( ln ( 2 ) e ^{\frac{l n ( 2 ) t}{6}} t - 3 \cdot 2 ^{\frac{t + 6}{6}} )}{ln ^{2} ( 2 ) e ^{\frac{l n ( 2 ) t}{6}}} + \frac{c _{1}}{e ^{\frac{l n ( 2 ) t}{6}}}

514 a = 9 a - 5

\frac{x}{20} = - 15

so l v e f or y, 20 y - 4 x = 100

43 = 3 - 95 z

61 s + 14 s - 42 s - s - 26 s = 60