(dy)/(dt)+2y=3*sin(6t)

Lösung

\frac{d y}{d t} + 2 y = 3 \cdot sin (6 t)

y = \frac{3 ( sin ( 6 t ) - 3 cos ( 6 t ) )}{20} + \frac{c _{1}}{e ^{2 t}}

Schritte zur Lösung

\frac{d y}{d t} + 2 y = 3 \cdot sin (6 t)

Solve linear ODE:

y = \frac{3 ( sin ( 6 t ) - 3 cos ( 6 t ) )}{20} + \frac{c _{1}}{e ^{2 t}}

y = \frac{3 ( sin ( 6 t ) - 3 cos ( 6 t ) )}{20} + \frac{c _{1}}{e ^{2 t}}

x \to - 2 - lim (\frac{- 1}{x ^{2} - 4})

x \to 7 lim (\frac{5}{x - 7})

\frac{d}{d x} ((y) x^{2})

\frac{\partial}{\partial x} (x z t^{2} y + 1)

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