de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+4y=0,y(0)=5,y^'(0)=7

Lösung

y^{^{''}} + 4 y = 0, y (0) = 5, y^{^{'}} (0) = 7

Lösung

y = 5 cos (2 t) + \frac{7}{2} sin (2 t)

Schritte zur Lösung

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

Solve linear ODE:

y = 5 cos (2 t) + \frac{7}{2} sin (2 t)

y = 5 cos (2 t) + \frac{7}{2} sin (2 t)

Graph

Beliebte Beispiele

x^{''}-x^'-12x=0

x^{^{''}} - x^{^{'}} - 12 x = 0

1/8 y^{''}+4y^'+12y=0

\frac{1}{8} y^{^{''}} + 4 y^{^{'}} + 12 y = 0

36y^{''}-84y^'+49y=0

36 y^{^{''}} - 84 y^{^{'}} + 49 y = 0

3y^{'''}+y^{''}+y^'-2y=0

3 y^{^{'''}} + y^{^{''}} + y^{^{'}} - 2 y = 0

20y^{''}+200y^'+520y=0

20 y^{^{''}} + 200 y^{^{'}} + 520 y = 0