de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{1}{4} e^{t} - \frac{1}{4} e^{- t} - \frac{1}{2} sin (t)

Schritte zur Lösung

y^{''} (t) - y = sin (t)

Solve linear ODE:

y = \frac{1}{4} e^{t} - \frac{1}{4} e^{- t} - \frac{1}{2} sin (t)

y = \frac{1}{4} e^{t} - \frac{1}{4} e^{- t} - \frac{1}{2} sin (t)

Graph

Beliebte Beispiele

y^{''}+5y^'+6y=4x+5

y^{^{''}} + 5 y^{^{'}} + 6 y = 4 x + 5

3x^{''}+30x^'+125x=350

3 x^{^{''}} + 30 x^{^{'}} + 125 x = 350

y^{^{''}} + y = t^{2} + 1

y^{''}+4y^'+4y=5e^{3t}

y^{^{''}} + 4 y^{^{'}} + 4 y = 5 e^{3 t}

y^{''}+y^'+5/4 y=3cos(x)

y^{^{''}} + y^{^{'}} + \frac{5}{4} y = 3 cos (x)