(dQ)/(dt)=0.03(1-Q)^{2/3}

Lösung

\frac{d Q}{d t} = 0.03 (1 - Q)^{\frac{2}{3}}

Q = \frac{t ^{3}}{1000000} + \frac{c _{1} t ^{2}}{10000} + \frac{c _{1}^{2} t}{300} + \frac{c _{1}^{3}}{27} + 1

Schritte zur Lösung

\frac{d Q}{d t} = 0.03 (1 - Q)^{\frac{2}{3}}

Solve separable ODE:

Q = \frac{t ^{3}}{1000000} + \frac{c _{1} t ^{2}}{10000} + \frac{c _{1}^{2} t}{300} + \frac{c _{1}^{3}}{27} + 1

Q = \frac{t ^{3}}{1000000} + \frac{c _{1} t ^{2}}{10000} + \frac{c _{1}^{2} t}{300} + \frac{c _{1}^{3}}{27} + 1

n = 1 \sum \infty \frac{e ^{nπ}}{π ^{n e}}

y^{^{''}} - 3 y^{^{'}} - 54 y = 0

\frac{d}{d x} (x^{8 c o s (x)})

\int - \frac{x}{1 - x} d x

t an g e n t y = - x^{3} + 9 x^{2} - 6 x + 9, (7, 65)