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Beliebt Rechnen >

(dy)/(dt)+3y=13sin(2t),y(0)=6

Lösung

\frac{d y}{d t} + 3 y = 13 sin (2 t), y (0) = 6

Lösung

y = - 2 cos (2 t) + 3 sin (2 t) + \frac{8}{e ^{3 t}}

Schritte zur Lösung

\frac{d y}{d t} + 3 y = 13 sin (2 t)

Solve linear ODE:

y = - 2 cos (2 t) + 3 sin (2 t) + \frac{8}{e ^{3 t}}

y = - 2 cos (2 t) + 3 sin (2 t) + \frac{8}{e ^{3 t}}

Graph

Beliebte Beispiele

limit as x approaches 3+of (x-4)/(3-x)

x \to 3 + lim (\frac{x - 4}{3 - x})

derivative sqrt(u)

d er i v a t i v e u

tangent f(x)=x^3-3x+1

t an g e n t f (x) = x^{3} - 3 x + 1

limit as n approaches infinity of x^{2n}

n \to \infty lim (x^{2 n})

derivative of (x^2-16/(x-4))

\frac{d}{d x} (\frac{x ^{2} - 16}{x - 4})