5(dQ)/(dt)+1/(0.05)Q=80

Lösung

5 \frac{d Q}{d t} + \frac{1}{0.05} Q = 80

Q = - e^{- 4 t - c_{1}} + 4

Schritte zur Lösung

5 \frac{d Q}{d t} + \frac{1}{0.05} Q = 80

Solve separable ODE:

Q = - e^{- 4 t - c_{1}} + 4

Q = - e^{- 4 t - c_{1}} + 4

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

y^{^{'}} = sin (t) y

y^{^{'}} = - \frac{3}{7} x^{6} y^{4}

\frac{d y}{d x} = 4 x y - 18 x^{2} y

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