y^{''}+9y=3csc^2(3t)

Lösung

y^{^{''}} + 9 y = 3 csc^{2} (3 t)

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{- ln ( tan ( \frac{3 t}{2} ) ) cos ( 3 t ) - 1}{3}

Schritte zur Lösung

y^{''} (t) + 9 y = 3 csc^{2} (3 t)

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{- ln ( tan ( \frac{3 t}{2} ) ) cos ( 3 t ) - 1}{3}

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{- ln ( tan ( \frac{3 t}{2} ) ) cos ( 3 t ) - 1}{3}

\int sinh (2 x) d x

d er i v a t i v e 2 x^{\frac{1}{5}} (x^{3} - 8)

x \to 0 lim (\frac{x}{cos ( x )})

\int t^{2} + t t - 1 + t sin (π) t d t

\int_{- 1}^{2} (x^{2} - 4 x + 3) d x