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Beliebt Rechnen >

y^{''}+4y=sin(t),y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + 4 y = sin (t), y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = - \frac{1}{6} sin (2 t) + \frac{1}{3} sin (t)

Schritte zur Lösung

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

Solve linear ODE:

y = - \frac{1}{6} sin (2 t) + \frac{1}{3} sin (t)

y = - \frac{1}{6} sin (2 t) + \frac{1}{3} sin (t)

Graph

Beliebte Beispiele

y^{''}+5y^'=4x+8

y^{^{''}} + 5 y^{^{'}} = 4 x + 8

y^{''}-2y^'+y=(e^x)/(x^3)

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{x}}{x ^{3}}

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

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

(d^2y)/(dx^2)-5(dy)/(dx)+4y=e^x

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 4 y = e^{x}

y^{'''}-y^{''}-25y^'+25y=7-e^x+e^{5x}

y^{^{'''}} - y^{^{''}} - 25 y^{^{'}} + 25 y = 7 - e^{x} + e^{5 x}