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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + t cos (2 t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + t cos (2 t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) + t cos (2 t)

Graph

Beliebte Beispiele

integral of (2x)/(x^2+4)

\int \frac{2 x}{x ^{2} + 4} d x

derivative of sin((pix^3))

\frac{d}{d x} (sin ((π x)^{3}))

derivative (2x+1)^4

d er i v a t i v e (2 x + 1)^{4}

limit as x approaches infinity of log_{2}(((x+2))/((2*x+1)))

x \to \infty lim (lo g_{2} (\frac{( x + 2 )}{( 2 \cdot x + 1 )}))

integral from 1 to 8 of sqrt(x-1)

\int_{1}^{8} x - 1 d x