10(t+1)(dy)/(dt)-9y=9t

Lösung

10 (t + 1) \frac{d y}{d t} - 9 y = 9 t

y = 9 t + 10 + c_{1} (t + 1)^{\frac{9}{10}}

Schritte zur Lösung

10 (t + 1) \frac{d y}{d t} - 9 y = 9 t

Solve linear ODE:

y = 9 t + 10 + c_{1} (t + 1)^{\frac{9}{10}}

y = 9 t + 10 + c_{1} (t + 1)^{\frac{9}{10}}

x \to 0 lim (\frac{- cos ( x ) + 1}{x})

\frac{d}{d x} (\frac{x - 5}{( x - 3 ) ( x - 1 )})

\int sin^{5} (\frac{x}{3}) cos (\frac{x}{3}) d x

\int_{- 3}^{1} (x^{2} + 2 x - 3) d x

d er i v a t i v e f (x) = x^{2} (1 - 3 x)