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Beliebt Rechnen >

y^{''}+y=sin(6t),y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + y = sin (6 t), y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = \frac{6}{35} sin (t) - \frac{1}{35} sin (6 t)

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{6}{35} sin (t) - \frac{1}{35} sin (6 t)

y = \frac{6}{35} sin (t) - \frac{1}{35} sin (6 t)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(1+cos^4(x^4))

\frac{\partial}{\partial x} (1 + cos^{4} (x^{4}))

derivative sin(ln(w))

d er i v a t i v e sin (ln (w))

(4y+2t-5)dt+(6y+4t-1)dy=0

(4 y + 2 t - 5) d t + (6 y + 4 t - 1) d y = 0

sum from n=0 to infinity of e^{-an}

n = 0 \sum \infty e^{- an}

(2dy)/(dx)+6y=3

\frac{2 d y}{d x} + 6 y = 3