y^{''}+9y=3sec(3x)

Lösung

y^{^{''}} + 9 y = 3 sec (3 x)

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

Schritte zur Lösung

y^{''} (x) + 9 y = 3 sec (3 x)

Solve linear ODE:

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

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

d er i v a t i v e 5 x e^{2 x}

x \to 0 lim (e^{x} + 2 x)

k = 3 \sum \infty \frac{1}{ln ( k )}

\int \frac{1}{x 1 - 4 ln ^{2} ( x )} d x

t an g e n t f (x) = \frac{20 x}{x ^{2} - 5}, at x = 5