y^{''}+y=6sin(2t)+4tcos(2t)

Lösung

y^{^{''}} + y = 6 sin (2 t) + 4 t cos (2 t)

y = c_{1} cos (t) + c_{2} sin (t) - \frac{4 t cos ( 2 t )}{3} - \frac{2}{9} sin (2 t)

Schritte zur Lösung

y^{''} (t) + y = 6 sin (2 t) + 4 t cos (2 t)

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) - \frac{4 t cos ( 2 t )}{3} - \frac{2}{9} sin (2 t)

y = c_{1} cos (t) + c_{2} sin (t) - \frac{4 t cos ( 2 t )}{3} - \frac{2}{9} sin (2 t)

\frac{d}{d x} (600000 (0.8)^{x})

\int \frac{x ^{4} + 1}{x ^{5} + 4 x ^{3}} d x

n = 1 \sum \infty (- 1)^{n - 1}

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

\frac{\partial}{\partial x} (\frac{( y + z )}{x})