(dx)/(dt)=12-x/(200+3t)

Lösung

\frac{d x}{d t} = 12 - \frac{x}{200 + 3 t}

x = 3 (3 t + 200) + \frac{c _{1}}{3 200 + 3 t}

Schritte zur Lösung

\frac{d x}{d t} = 12 - \frac{x}{200 + 3 t}

Solve linear ODE:

x = 3 (3 t + 200) + \frac{c _{1}}{3 200 + 3 t}

x = 3 (3 t + 200) + \frac{c _{1}}{3 200 + 3 t}

t an g e n t f (x) = x^{3} - 3 x^{2} - 9 x + 27, at x = 4

\frac{\partial}{\partial x} (\frac{3 x + y ^{2}}{x y})

\int (5 x^{4} - 8 x^{3} + 9 x^{2} - 2 x + 7) d x

y^{^{'}} = y^{5}

\frac{d}{d x} (\frac{3 x - 5}{2 x + 3})